Details

Time bar (total: 15.1s)

analyze245.0ms (1.6%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0%100%0%0%0%0
0%0%0%100%0%0%0%1
0%0%0%100%0%0%0%2
50%0%0%100%0%0%0%3
50%0%0%100%0%0%0%4
50%0%0%100%0%0%0%5
75%0%0%100%0%0%0%6
75%0%0%100%0%0%0%7
75%0%0%100%0%0%0%8
87.5%0%0%100%0%0%0%9
87.5%0%0%100%0%0%0%10
87.5%0%0%100%0%0%0%11
93.8%0%0%100%0%0%0%12
Compiler

Compiled 39 to 31 computations (20.5% saved)

sample2.7s (18.2%)

Results
2.7s8256×body256valid
2.0msbody256precondition
Bogosity

preprocess39.0ms (0.3%)

Algorithm
egg-herbie
Rules
304×fma-def
202×+-commutative
180×associate-+l-
168×associate-+l+
114×associate--r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033172
162164
298164
3123164
4151164
5187164
6242164
7324164
8603164
9687164
10739164
111019164
121083164
131118164
141130164
151133164
033
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
2
Call 2
Inputs
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 cosTheta_i)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) cosTheta_i)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u2)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u1)))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 cosTheta_i)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 cosTheta_i)))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 cosTheta_i)))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 cosTheta_i)))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) cosTheta_i)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) cosTheta_i))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) cosTheta_i))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u2)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u1)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u2)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u1))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u2)))) (sin.f32 (*.f32 2 (*.f32 u1 (PI.f32)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u2)))) (sin.f32 (*.f32 u1 (*.f32 2 (PI.f32)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u2)))) (sin.f32 (*.f32 (PI.f32) (*.f32 u1 2))))
Compiler

Compiled 19 to 17 computations (10.5% saved)

simplify35.0ms (0.2%)

Algorithm
egg-herbie
Rules
92×fma-def
62×associate-+l-
60×+-commutative
52×associate-+l+
40×associate--r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01743
12941
24141
35141
46141
57541
69841
712341
820141
923441
1025641
1136641
1239441
1340741
1441141
1541241
Stop Event
saturated
Counts
1 → 3
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))

eval1.0ms (0%)

Compiler

Compiled 41 to 32 computations (22% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New123
Fresh011
Picked000
Done000
Total134
Error
0.5b
Counts
4 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
0.5b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
13.3b
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
Compiler

Compiled 31 to 27 computations (12.9% saved)

localize62.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
0.3b
(*.f32 (*.f32 2 (PI.f32)) u2)
0.4b
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
14.0b
(log.f32 (-.f32 1 u1))
Compiler

Compiled 53 to 39 computations (26.4% saved)

series94.0ms (0.6%)

Counts
4 → 56
Calls

15 calls:

TimeVariablePointExpression
44.0ms
u2
@inf
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
41.0ms
u2
@-inf
(*.f32 (*.f32 2 (PI.f32)) u2)
2.0ms
u1
@-inf
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
1.0ms
u2
@0
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
1.0ms
u1
@inf
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))

rewrite86.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
950×swap-sqr
520×distribute-rgt-in
516×associate-*r/
468×distribute-lft-in
420×associate-*l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01788
133980
2409880
Stop Event
node limit
Counts
4 → 139
Calls
Call 1
Inputs
(log.f32 (-.f32 1 u1))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (*.f32 2 (PI.f32)) u2)
(sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 (neg.f32 u1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log1p.f32 (neg.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (-.f32 1 (*.f32 u1 u1))) (*.f32 -1 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (-.f32 1 (*.f32 u1 u1))) (*.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (-.f32 1 (*.f32 u1 u1))) (*.f32 (neg.f32 (*.f32 (cbrt.f32 (log1p.f32 u1)) (cbrt.f32 (log1p.f32 u1)))) (cbrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (-.f32 1 u1))) (log.f32 (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2))) (log.f32 (cbrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (cbrt.f32 (-.f32 1 u1))) (log.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 0 (log.f32 (sqrt.f32 (-.f32 1 u1)))) (log.f32 (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 0 (log.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2)))) (log.f32 (cbrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 0 (log.f32 (-.f32 1 (*.f32 u1 u1)))) (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 0 (log.f32 (-.f32 1 (pow.f32 u1 3)))) (log.f32 (+.f32 1 (fma.f32 u1 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 0 (exp.f32 (log1p.f32 (log1p.f32 (neg.f32 u1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 1 (log.f32 (sqrt.f32 (-.f32 1 u1)))) (*.f32 1 (log.f32 (sqrt.f32 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 1 (log.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2)))) (*.f32 1 (log.f32 (cbrt.f32 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 -1 (log.f32 (sqrt.f32 (-.f32 1 u1)))) (*.f32 -1 (log.f32 (sqrt.f32 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 -1 (log.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2)))) (*.f32 -1 (log.f32 (cbrt.f32 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (log.f32 (sqrt.f32 (-.f32 1 u1))) 1) (*.f32 (log.f32 (sqrt.f32 (-.f32 1 u1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (log.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2))) 1) (*.f32 (log.f32 (cbrt.f32 (-.f32 1 u1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (log.f32 (sqrt.f32 (-.f32 1 u1))) -1) (*.f32 (log.f32 (sqrt.f32 (-.f32 1 u1))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (log.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2))) -1) (*.f32 (log.f32 (cbrt.f32 (-.f32 1 u1))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (neg.f32 (log.f32 (sqrt.f32 (-.f32 1 u1)))) (neg.f32 (log.f32 (sqrt.f32 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (neg.f32 (log.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2)))) (neg.f32 (log.f32 (cbrt.f32 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (log1p.f32 (neg.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (-.f32 1 (*.f32 u1 u1))) (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (-.f32 1 (pow.f32 u1 3))) (log.f32 (+.f32 1 (fma.f32 u1 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (log1p.f32 (neg.f32 u1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 0 (log.f32 (-.f32 1 (*.f32 u1 u1)))) (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 0 (log.f32 (-.f32 1 (pow.f32 u1 3)))) (log.f32 (+.f32 1 (fma.f32 u1 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 0 (exp.f32 (log1p.f32 (log1p.f32 (neg.f32 u1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 0 (log.f32 (sqrt.f32 (-.f32 1 u1)))) (log.f32 (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 0 (log.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2)))) (log.f32 (cbrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log1p.f32 (neg.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log1p.f32 (neg.f32 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log1p.f32 (neg.f32 u1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 1/4) (*.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 1/4) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 1/4) (neg.f32 (*.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 1/4) (sqrt.f32 (log1p.f32 (neg.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1)))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) (neg.f32 (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 2) (cbrt.f32 (log1p.f32 (neg.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (log1p.f32 (neg.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (pow.f32 (log1p.f32 (neg.f32 u1)) 1/4)) (pow.f32 (log1p.f32 (neg.f32 u1)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (pow.f32 (log1p.f32 (neg.f32 u1)) 1/4)) (neg.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cbrt.f32 (log1p.f32 (neg.f32 u1)))) (cbrt.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cbrt.f32 (log1p.f32 (neg.f32 u1)))) (neg.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0) (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0)) (log1p.f32 (neg.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0) (+.f32 0 (pow.f32 (log1p.f32 (neg.f32 u1)) 3))) (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 1/4)) (*.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 1/4) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (pow.f32 (log1p.f32 (neg.f32 u1)) 1/4))) (pow.f32 (log1p.f32 (neg.f32 u1)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cbrt.f32 (log1p.f32 (neg.f32 u1))))) (cbrt.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 1 1/2) (pow.f32 1 1/2)) (log1p.f32 (neg.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 2) 1/2) (pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 2) 1/2)) (*.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 1/2) (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 -1 1/2) (pow.f32 -1 1/2)) (log1p.f32 (neg.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (log1p.f32 (neg.f32 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (log1p.f32 (neg.f32 u1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 (log1p.f32 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simplify149.0ms (1%)

Algorithm
egg-herbie
Rules
1376×associate-/r/
808×associate-*l*
774×associate-*r*
646×+-commutative
622×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04517247
112076561
253446435
Stop Event
node limit
Counts
195 → 263
Calls
Call 1
Inputs
(*.f32 -1 u1)
(+.f32 (*.f32 -1 u1) (*.f32 -1/2 (pow.f32 u1 2)))
(+.f32 (*.f32 -1 u1) (+.f32 (*.f32 -1/3 (pow.f32 u1 3)) (*.f32 -1/2 (pow.f32 u1 2))))
(+.f32 (*.f32 -1 u1) (+.f32 (*.f32 -1/4 (pow.f32 u1 4)) (+.f32 (*.f32 -1/3 (pow.f32 u1 3)) (*.f32 -1/2 (pow.f32 u1 2)))))
(+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))
(-.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))) (/.f32 1 u1))
(-.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))) (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1)))
(-.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))) (+.f32 (*.f32 1/3 (/.f32 1 (pow.f32 u1 3))) (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1))))
(*.f32 -1 (log.f32 (/.f32 -1 u1)))
(-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (/.f32 1 u1))
(-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1)))
(-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (+.f32 (*.f32 1/3 (/.f32 1 (pow.f32 u1 3))) (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1))))
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(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2)
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 3)
(pow.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3) 1/3)
(sqrt.f32 (*.f32 (log1p.f32 (neg.f32 u1)) (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2)))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))
(cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 3/2) (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)))
(cbrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3) (pow.f32 (log1p.f32 (neg.f32 u1)) 3/2)))
(expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 1))
(log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 1)
(pow.f32 (*.f32 2 (*.f32 (PI.f32) u2)) 1)
(pow.f32 (sqrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2)
(pow.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)
(pow.f32 (pow.f32 (*.f32 2 (*.f32 (PI.f32) u2)) 3) 1/3)
(sqrt.f32 (pow.f32 (*.f32 2 (*.f32 (PI.f32) u2)) 2))
(log.f32 (pow.f32 (exp.f32 u2) (*.f32 2 (PI.f32))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(cbrt.f32 (pow.f32 (*.f32 2 (*.f32 (PI.f32) u2)) 3))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 2 (PI.f32)) 3) (pow.f32 u2 3)))
(cbrt.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (*.f32 2 (PI.f32)) 3)))
(expm1.f32 (log1p.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(exp.f32 (log.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(exp.f32 (*.f32 (log.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1))
(log1p.f32 (expm1.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(-.f32 (exp.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 1)
(*.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(*.f32 2 (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1)
(*.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(*.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2))
(*.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2) (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1)
(pow.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2)
(pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3)
(pow.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3) 1/3)
(sqrt.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2))
(log.f32 (exp.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(log.f32 (+.f32 1 (expm1.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(cbrt.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3))
(expm1.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(exp.f32 (log.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(exp.f32 (*.f32 (log.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 1))
(log1p.f32 (expm1.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
Outputs
(*.f32 -1 u1)
(neg.f32 u1)
(+.f32 (*.f32 -1 u1) (*.f32 -1/2 (pow.f32 u1 2)))
(fma.f32 -1 u1 (*.f32 -1/2 (*.f32 u1 u1)))
(-.f32 (*.f32 (*.f32 -1/2 u1) u1) u1)
(+.f32 (*.f32 -1 u1) (+.f32 (*.f32 -1/3 (pow.f32 u1 3)) (*.f32 -1/2 (pow.f32 u1 2))))
(fma.f32 -1 u1 (fma.f32 -1/3 (pow.f32 u1 3) (*.f32 -1/2 (*.f32 u1 u1))))
(-.f32 (fma.f32 -1/3 (pow.f32 u1 3) (*.f32 (*.f32 -1/2 u1) u1)) u1)
(-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1)
(+.f32 (*.f32 -1 u1) (+.f32 (*.f32 -1/4 (pow.f32 u1 4)) (+.f32 (*.f32 -1/3 (pow.f32 u1 3)) (*.f32 -1/2 (pow.f32 u1 2)))))
(fma.f32 -1 u1 (fma.f32 -1/4 (pow.f32 u1 4) (fma.f32 -1/3 (pow.f32 u1 3) (*.f32 -1/2 (*.f32 u1 u1)))))
(-.f32 (fma.f32 -1/4 (pow.f32 u1 4) (fma.f32 -1/3 (pow.f32 u1 3) (*.f32 (*.f32 -1/2 u1) u1))) u1)
(-.f32 (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3)))) u1)
(+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))
(+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))
(+.f32 (log.f32 -1) (log.f32 u1))
(-.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))) (/.f32 1 u1))
(+.f32 (log.f32 -1) (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (/.f32 1 u1)))
(+.f32 (log.f32 u1) (-.f32 (log.f32 -1) (/.f32 1 u1)))
(-.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))) (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1)))
(+.f32 (log.f32 -1) (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (/.f32 1 u1) (/.f32 1/2 (*.f32 u1 u1)))))
(-.f32 (+.f32 (log.f32 u1) (-.f32 (log.f32 -1) (/.f32 1 u1))) (/.f32 1/2 (*.f32 u1 u1)))
(+.f32 (log.f32 u1) (-.f32 (-.f32 (log.f32 -1) (/.f32 1 u1)) (/.f32 1/2 (*.f32 u1 u1))))
(-.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))) (+.f32 (*.f32 1/3 (/.f32 1 (pow.f32 u1 3))) (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1))))
(+.f32 (log.f32 -1) (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (+.f32 (/.f32 1 u1) (/.f32 1/2 (*.f32 u1 u1))) (/.f32 1/3 (pow.f32 u1 3)))))
(-.f32 (-.f32 (+.f32 (log.f32 u1) (-.f32 (log.f32 -1) (/.f32 1 u1))) (/.f32 1/2 (*.f32 u1 u1))) (/.f32 1/3 (pow.f32 u1 3)))
(-.f32 (+.f32 (log.f32 -1) (log.f32 u1)) (-.f32 (/.f32 1/3 (pow.f32 u1 3)) (-.f32 (/.f32 -1 u1) (/.f32 1/2 (*.f32 u1 u1)))))
(*.f32 -1 (log.f32 (/.f32 -1 u1)))
(neg.f32 (log.f32 (/.f32 -1 u1)))
(-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (/.f32 1 u1))
(-.f32 (neg.f32 (log.f32 (/.f32 -1 u1))) (/.f32 1 u1))
(fma.f32 -1 (log.f32 (/.f32 -1 u1)) (/.f32 -1 u1))
(-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1)))
(-.f32 (neg.f32 (log.f32 (/.f32 -1 u1))) (+.f32 (/.f32 1 u1) (/.f32 1/2 (*.f32 u1 u1))))
(-.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (/.f32 -1 u1)) (/.f32 1/2 (*.f32 u1 u1)))
(-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (+.f32 (*.f32 1/3 (/.f32 1 (pow.f32 u1 3))) (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1))))
(-.f32 (neg.f32 (log.f32 (/.f32 -1 u1))) (+.f32 (+.f32 (/.f32 1 u1) (/.f32 1/2 (*.f32 u1 u1))) (/.f32 1/3 (pow.f32 u1 3))))
(-.f32 (-.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (/.f32 -1 u1)) (/.f32 1/2 (*.f32 u1 u1))) (/.f32 1/3 (pow.f32 u1 3)))
(-.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (/.f32 -1 u1)) (+.f32 (/.f32 1/2 (*.f32 u1 u1)) (/.f32 1/3 (pow.f32 u1 3))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))
(*.f32 (sqrt.f32 -1) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(fma.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 u1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))
(fma.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 u1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) (*.f32 (sqrt.f32 -1) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))))
(fma.f32 -1/2 (*.f32 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) (*.f32 (sqrt.f32 -1) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))
(fma.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 u1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2))) (*.f32 u1 u1))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))
(+.f32 (*.f32 (sqrt.f32 -1) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))) (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 u1 (sqrt.f32 -1)))) (/.f32 (*.f32 -1/2 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (/.f32 (/.f32 (*.f32 u1 u1) (sqrt.f32 -1)) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2)))))))
(+.f32 (*.f32 (sqrt.f32 -1) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))) (*.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (*.f32 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2)) u1))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))
(fma.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 u1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2))) (*.f32 u1 u1))) (fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2)) (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))) (pow.f32 u1 3))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))))
(+.f32 (fma.f32 -1/2 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (fma.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2)) (+.f32 (log.f32 -1) (log.f32 u1))) 1/3))) (/.f32 (pow.f32 u1 3) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))) (*.f32 (sqrt.f32 -1) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))) (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 u1 (sqrt.f32 -1)))) (/.f32 (*.f32 -1/2 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (/.f32 (/.f32 (*.f32 u1 u1) (sqrt.f32 -1)) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2)))))))
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(/.f32 (*.f32 -1 (+.f32 0 (pow.f32 (log1p.f32 (neg.f32 u1)) 3))) (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(/.f32 (*.f32 (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0) 1) (log1p.f32 (neg.f32 u1)))
(*.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (/.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (pow.f32 (log1p.f32 (neg.f32 u1)) 3)))
(/.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (log1p.f32 (neg.f32 u1)))
(/.f32 (*.f32 (+.f32 0 (pow.f32 (log1p.f32 (neg.f32 u1)) 3)) 1) (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0))
(log1p.f32 (neg.f32 u1))
(/.f32 (*.f32 (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0) -1) (log1p.f32 (neg.f32 u1)))
(/.f32 (neg.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2)) (log1p.f32 (neg.f32 u1)))
(/.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (neg.f32 (log1p.f32 (neg.f32 u1))))
(/.f32 (*.f32 (+.f32 0 (pow.f32 (log1p.f32 (neg.f32 u1)) 3)) -1) (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(/.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0) 1) (log1p.f32 (neg.f32 u1)))
(*.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (/.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (pow.f32 (log1p.f32 (neg.f32 u1)) 3)))
(/.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (log1p.f32 (neg.f32 u1)))
(/.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0) (sqrt.f32 (log1p.f32 (neg.f32 u1)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(*.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (/.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (pow.f32 (log1p.f32 (neg.f32 u1)) 3)))
(/.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (log1p.f32 (neg.f32 u1)))
(/.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0) (pow.f32 (log1p.f32 (neg.f32 u1)) 1/4)) (*.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 1/4) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(*.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (/.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (pow.f32 (log1p.f32 (neg.f32 u1)) 3)))
(/.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (log1p.f32 (neg.f32 u1)))
(/.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0) (cbrt.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 2))
(*.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (/.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (pow.f32 (log1p.f32 (neg.f32 u1)) 3)))
(/.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (log1p.f32 (neg.f32 u1)))
(/.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0) (cbrt.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1)))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(/.f32 (/.f32 (/.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (cbrt.f32 (log1p.f32 (neg.f32 u1)))) (cbrt.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(/.f32 (/.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cbrt.f32 (log1p.f32 (neg.f32 u1))))) (cbrt.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(/.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0) (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 2)) (cbrt.f32 (log1p.f32 (neg.f32 u1))))
(*.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (/.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (pow.f32 (log1p.f32 (neg.f32 u1)) 3)))
(/.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (log1p.f32 (neg.f32 u1)))
(/.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0) -1) (log1p.f32 (neg.f32 u1)))
(/.f32 (neg.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2)) (log1p.f32 (neg.f32 u1)))
(/.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (neg.f32 (log1p.f32 (neg.f32 u1))))
(/.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0) (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (pow.f32 (log1p.f32 (neg.f32 u1)) 1/4))) (pow.f32 (log1p.f32 (neg.f32 u1)) 1/4))
(*.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (/.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (pow.f32 (log1p.f32 (neg.f32 u1)) 3)))
(/.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (log1p.f32 (neg.f32 u1)))
(/.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0) (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cbrt.f32 (log1p.f32 (neg.f32 u1))))) (cbrt.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(/.f32 (/.f32 (/.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (cbrt.f32 (log1p.f32 (neg.f32 u1)))) (cbrt.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(/.f32 (/.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cbrt.f32 (log1p.f32 (neg.f32 u1))))) (cbrt.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0)) (log1p.f32 (neg.f32 u1)))
(/.f32 (neg.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2)) (log1p.f32 (neg.f32 u1)))
(/.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (neg.f32 (log1p.f32 (neg.f32 u1))))
(/.f32 (neg.f32 (+.f32 0 (pow.f32 (log1p.f32 (neg.f32 u1)) 3))) (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(pow.f32 (log1p.f32 (neg.f32 u1)) 1)
(log1p.f32 (neg.f32 u1))
(pow.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) 2)
(log1p.f32 (neg.f32 u1))
(pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3)
(log1p.f32 (neg.f32 u1))
(pow.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 1/2)
(sqrt.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2))
(fabs.f32 (log1p.f32 (neg.f32 u1)))
(pow.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 3) 1/3)
(log1p.f32 (neg.f32 u1))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(sqrt.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2))
(fabs.f32 (log1p.f32 (neg.f32 u1)))
(cbrt.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 3))
(log1p.f32 (neg.f32 u1))
(expm1.f32 (log1p.f32 (log1p.f32 (neg.f32 u1))))
(log1p.f32 (neg.f32 u1))
(exp.f32 (log.f32 (log1p.f32 (neg.f32 u1))))
(log1p.f32 (neg.f32 u1))
(log1p.f32 (neg.f32 u1))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))) 1)
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(pow.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 1)
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2)
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 3)
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(pow.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3) 1/3)
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(sqrt.f32 (*.f32 (log1p.f32 (neg.f32 u1)) (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2)))
(sqrt.f32 (*.f32 (log1p.f32 (neg.f32 u1)) (pow.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2)))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 3/2) (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 3/2) (pow.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 3)))
(cbrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3) (pow.f32 (log1p.f32 (neg.f32 u1)) 3/2)))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 3/2) (pow.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 3)))
(expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 1))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 1)
(*.f32 2 (*.f32 u2 (PI.f32)))
(pow.f32 (*.f32 2 (*.f32 (PI.f32) u2)) 1)
(*.f32 2 (*.f32 u2 (PI.f32)))
(pow.f32 (sqrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2)
(*.f32 2 (*.f32 u2 (PI.f32)))
(pow.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)
(*.f32 2 (*.f32 u2 (PI.f32)))
(pow.f32 (pow.f32 (*.f32 2 (*.f32 (PI.f32) u2)) 3) 1/3)
(*.f32 2 (*.f32 u2 (PI.f32)))
(sqrt.f32 (pow.f32 (*.f32 2 (*.f32 (PI.f32) u2)) 2))
(sqrt.f32 (pow.f32 (*.f32 2 (*.f32 u2 (PI.f32))) 2))
(fabs.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(log.f32 (pow.f32 (exp.f32 u2) (*.f32 2 (PI.f32))))
(*.f32 2 (*.f32 u2 (PI.f32)))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(*.f32 2 (*.f32 u2 (PI.f32)))
(cbrt.f32 (pow.f32 (*.f32 2 (*.f32 (PI.f32) u2)) 3))
(*.f32 2 (*.f32 u2 (PI.f32)))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 2 (PI.f32)) 3) (pow.f32 u2 3)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(cbrt.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (*.f32 2 (PI.f32)) 3)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(expm1.f32 (log1p.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(*.f32 2 (*.f32 u2 (PI.f32)))
(exp.f32 (log.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(*.f32 2 (*.f32 u2 (PI.f32)))
(exp.f32 (*.f32 (log.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1))
(*.f32 2 (*.f32 u2 (PI.f32)))
(log1p.f32 (expm1.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(*.f32 2 (*.f32 u2 (PI.f32)))
(-.f32 (exp.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 1)
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(*.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(*.f32 2 (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))))
(*.f32 2 (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32)))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1)
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(*.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(*.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(*.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2) (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1)
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(pow.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2)
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3)
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(pow.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3) 1/3)
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sqrt.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2))
(sqrt.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2))
(fabs.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(log.f32 (exp.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(log.f32 (+.f32 1 (expm1.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(cbrt.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(expm1.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(exp.f32 (log.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(exp.f32 (*.f32 (log.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 1))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(log1p.f32 (expm1.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))

localize66.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
0.2b
(sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))
0.3b
(*.f32 (PI.f32) u2)
0.4b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
Compiler

Compiled 47 to 19 computations (59.6% saved)

series11.0ms (0.1%)

Counts
4 → 52
Calls

15 calls:

TimeVariablePointExpression
6.0ms
u2
@inf
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
1.0ms
u1
@inf
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
1.0ms
u1
@-inf
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
0.0ms
u1
@inf
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
0.0ms
u1
@0
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))

rewrite99.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1000×unswap-sqr
888×swap-sqr
514×sqr-pow
340×distribute-rgt-in
326×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01686
132270
2391570
Stop Event
node limit
Counts
4 → 109
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(*.f32 (PI.f32) u2)
(sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) 2) (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) (-.f32 u2 u2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3) (pow.f32 (log1p.f32 u1) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (PI.f32) u2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (PI.f32) u2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (*.f32 (PI.f32) u2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 u2) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (PI.f32) u2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (PI.f32) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) u2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (PI.f32) u2)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2) (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (sin.f32 (*.f32 (PI.f32) u2))) (cos.f32 (*.f32 (PI.f32) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (*.f32 (sqrt.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (*.f32 (cbrt.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2))) (*.f32 (sqrt.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2))) (*.f32 (cbrt.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (sqrt.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))) (*.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (sqrt.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2)) (cbrt.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))) (*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2)) (cbrt.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3/2) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3) 1/6) (pow.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) (-.f32 u2 u2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) (-.f32 u2 u2)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log1p.f32 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log1p.f32 u1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (log1p.f32 u1) 1/4) (pow.f32 (log1p.f32 u1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (log1p.f32 u1) 1/4) (neg.f32 (pow.f32 (log1p.f32 u1) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (cbrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log1p.f32 u1)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log1p.f32 u1)) (neg.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (neg.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 1 1/2) (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) 1/2) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) 1/2) (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 -1 1/2) (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))) (sqrt.f32 (cbrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 (pow.f32 (log1p.f32 u1) 1/4)) (pow.f32 (log1p.f32 u1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 (sqrt.f32 -1)) (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 (pow.f32 1 1/2)) (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 (pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) 1/2)) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 (pow.f32 -1 1/2)) (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (*.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))) (*.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))) (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))) (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4))) (*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3/2) (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/6) (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log1p.f32 u1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log1p.f32 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f32 (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (sqrt.f32 (log1p.f32 u1))))))))

simplify101.0ms (0.7%)

Algorithm
egg-herbie
Rules
1382×associate-/r*
1022×associate-*r/
932×associate-*l/
892×associate-*l*
842×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03817061
110406297
247116285
Stop Event
node limit
Counts
161 → 220
Calls
Call 1
Inputs
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
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(*.f32 (*.f32 (cbrt.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2))) (*.f32 (cbrt.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2))))
(*.f32 (*.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (sqrt.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))) (*.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (sqrt.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))
(*.f32 (*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2)) (cbrt.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))) (*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2)) (cbrt.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))
(*.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3/2) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3/2))
(*.f32 (pow.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3) 1/6) (pow.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3) 1/6))
(/.f32 (*.f32 2 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) (-.f32 u2 u2))))) 2)
(/.f32 (*.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) (-.f32 u2 u2)))) 2) 2)
(pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1)
(pow.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2)
(pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3)
(pow.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3) 1/3)
(sqrt.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2))
(log.f32 (exp.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(log.f32 (+.f32 1 (expm1.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(cbrt.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3))
(expm1.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(exp.f32 (log.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(exp.f32 (*.f32 (log.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 1))
(log1p.f32 (expm1.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1)))) 1)
(*.f32 (sqrt.f32 (log1p.f32 u1)) 1)
(*.f32 (sqrt.f32 (log1p.f32 u1)) -1)
(*.f32 1 (sqrt.f32 (log1p.f32 u1)))
(*.f32 (pow.f32 (log1p.f32 u1) 1/4) (pow.f32 (log1p.f32 u1) 1/4))
(*.f32 (pow.f32 (log1p.f32 u1) 1/4) (neg.f32 (pow.f32 (log1p.f32 u1) 1/4)))
(*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (cbrt.f32 (log1p.f32 u1)))
(*.f32 (cbrt.f32 (log1p.f32 u1)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))
(*.f32 (cbrt.f32 (log1p.f32 u1)) (neg.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))
(*.f32 -1 (sqrt.f32 (log1p.f32 u1)))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1))))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (neg.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (pow.f32 1 1/2) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) 1/2) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 1/2))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) 1/2) (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 1/2)))
(*.f32 (pow.f32 -1 1/2) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (neg.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (log1p.f32 u1)))
(*.f32 (neg.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))) (sqrt.f32 (cbrt.f32 (log1p.f32 u1))))
(*.f32 (neg.f32 (pow.f32 (log1p.f32 u1) 1/4)) (pow.f32 (log1p.f32 u1) 1/4))
(*.f32 (neg.f32 (sqrt.f32 -1)) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (neg.f32 (pow.f32 1 1/2)) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (neg.f32 (pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) 1/2)) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 1/2))
(*.f32 (neg.f32 (pow.f32 -1 1/2)) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (*.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (*.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))
(*.f32 (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))
(*.f32 (*.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))) (*.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))))
(*.f32 (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))) (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))))
(*.f32 (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))) (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))))
(*.f32 (*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4))) (*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4))))
(*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3/2) (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3/2))
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/6) (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/6))
(pow.f32 (log1p.f32 u1) 1/2)
(pow.f32 (sqrt.f32 (log1p.f32 u1)) 1)
(pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2)
(pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3)
(pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3)
(neg.f32 (sqrt.f32 (log1p.f32 u1)))
(fabs.f32 (sqrt.f32 (log1p.f32 u1)))
(log.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))))
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (log1p.f32 u1)))))
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
(expm1.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1))))
(exp.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))))
(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))) 1))
(log1p.f32 (expm1.f32 (sqrt.f32 (log1p.f32 u1))))
Outputs
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(*.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))
(*.f32 (sqrt.f32 -1) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(fma.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 u1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (*.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))
(fma.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))) (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) u1) (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))))
(fma.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))) (*.f32 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))
(fma.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 u1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (*.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2))) (*.f32 u1 u1))) (*.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))
(+.f32 (*.f32 (sqrt.f32 -1) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))) (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (*.f32 -1/2 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) u1)) (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) u1) (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2)) u1))))))
(+.f32 (*.f32 (sqrt.f32 -1) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))) (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (*.f32 (/.f32 (*.f32 -1/2 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (/.f32 (*.f32 u1 u1) (sqrt.f32 -1))) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2))) (*.f32 -1/2 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))
(fma.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 u1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (*.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2))) (*.f32 u1 u1))) (fma.f32 -1/2 (/.f32 (*.f32 (*.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2)) (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (pow.f32 u1 3)) (*.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))))
(+.f32 (fma.f32 -1/2 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 (fma.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2)) (+.f32 (log.f32 -1) (log.f32 u1))) 1/3) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))) (/.f32 (pow.f32 u1 3) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))) (*.f32 (sqrt.f32 -1) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))) (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (*.f32 -1/2 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) u1)) (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) u1) (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2)) u1))))))
(+.f32 (fma.f32 (*.f32 (/.f32 (*.f32 -1/2 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (/.f32 (pow.f32 u1 3) (sqrt.f32 -1))) (fma.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2)) (+.f32 (log.f32 -1) (log.f32 u1))) 1/3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (*.f32 (sqrt.f32 -1) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))) (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (*.f32 (/.f32 (*.f32 -1/2 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (/.f32 (*.f32 u1 u1) (sqrt.f32 -1))) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2))) (*.f32 -1/2 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1))))
(*.f32 (*.f32 (pow.f32 (sqrt.f32 -1) 2) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (/.f32 -1 u1))))
(*.f32 -1 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(fma.f32 -1/2 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) u1) (*.f32 (*.f32 (pow.f32 (sqrt.f32 -1) 2) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
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(exp.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))))
(sqrt.f32 (log1p.f32 u1))
(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2))
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(exp.f32 (*.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))) 1))
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eval351.0ms (2.3%)

Compiler

Compiled 13786 to 9384 computations (31.9% saved)

prune140.0ms (0.9%)

Pruning

39 alts after pruning (37 fresh and 2 done)

PrunedKeptTotal
New44637483
Fresh000
Picked011
Done011
Total44639485
Error
0.1b
Counts
485 → 39
Alt Table
Click to see full alt table
StatusErrorProgram
9.2b
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2)
8.4b
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 3)
8.3b
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
8.4b
(*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
0.7b
(*.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
0.6b
(*.f32 (sqrt.f32 (neg.f32 (/.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0) (cbrt.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 2)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
2.0b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3)))) u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
2.6b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
3.9b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 -1/2 u1) u1) u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
0.5b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
0.5b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 u1 3))) (log1p.f32 (fma.f32 u1 u1 u1))))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
3.1b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 1 (*.f32 u1 u1))) (log1p.f32 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
0.6b
(*.f32 (sqrt.f32 (neg.f32 (*.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (/.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (pow.f32 (log1p.f32 (neg.f32 u1)) 3))))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
0.7b
(*.f32 (sqrt.f32 (neg.f32 (*.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 2) (cbrt.f32 (log1p.f32 (neg.f32 u1)))))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
13.9b
(*.f32 (sqrt.f32 (neg.f32 (*.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
7.6b
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
2.8b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3) 1/3))
1.7b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2))
0.9b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3))
13.0b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (exp.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 1))
0.9b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2) (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
0.5b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))) 2))
1.8b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (*.f32 (cbrt.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))) (cbrt.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))))) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) 2)))
6.2b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (*.f32 u2 (PI.f32))))
0.7b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2))))
0.5b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
0.5b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))
1.6b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (exp.f32 (log.f32 (*.f32 (PI.f32) u2))))))
0.5b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
13.0b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
0.6b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
2.5b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
13.3b
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (pow.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)))
13.3b
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
8.3b
(*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
8.3b
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
9.1b
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2)))
9.6b
(exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
8.3b
(cbrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3) (pow.f32 (log1p.f32 u1) 3/2)))
Compiler

Compiled 1463 to 1221 computations (16.5% saved)

localize92.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
0.3b
(log1p.f32 (fma.f32 u1 u1 u1))
0.3b
(*.f32 (*.f32 2 (PI.f32)) u2)
0.4b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 u1 3))) (log1p.f32 (fma.f32 u1 u1 u1))))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
Compiler

Compiled 99 to 56 computations (43.4% saved)

series39.0ms (0.3%)

Counts
2 → 32
Calls

9 calls:

TimeVariablePointExpression
31.0ms
u2
@inf
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 u1 3))) (log1p.f32 (fma.f32 u1 u1 u1))))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
2.0ms
u2
@0
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 u1 3))) (log1p.f32 (fma.f32 u1 u1 u1))))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
2.0ms
u1
@inf
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 u1 3))) (log1p.f32 (fma.f32 u1 u1 u1))))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
1.0ms
u1
@-inf
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 u1 3))) (log1p.f32 (fma.f32 u1 u1 u1))))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
1.0ms
u2
@-inf
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 u1 3))) (log1p.f32 (fma.f32 u1 u1 u1))))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))

rewrite86.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
932×associate-*r/
722×associate-*l/
454×add-sqr-sqrt
438×*-un-lft-identity
432×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02278
145570
2556270
Stop Event
node limit
Counts
2 → 37
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 u1 3))) (log1p.f32 (fma.f32 u1 u1 u1))))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(log1p.f32 (fma.f32 u1 u1 u1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 (pow.f32 u1 3)) 3) (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) 3)))) (sqrt.f32 (+.f32 (pow.f32 (log1p.f32 (pow.f32 u1 3)) 2) (*.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (+.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 (pow.f32 u1 3)) 2) (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) 2)))) (sqrt.f32 (+.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 (pow.f32 u1 3)) 3) (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) 3))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (sqrt.f32 (+.f32 (pow.f32 (log1p.f32 (pow.f32 u1 3)) 2) (*.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (+.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 (pow.f32 u1 3)) 2) (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) 2))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (sqrt.f32 (+.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (cbrt.f32 (-.f32 (pow.f32 (log1p.f32 (pow.f32 u1 3)) 3) (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) 3))) (*.f32 (cbrt.f32 (sqrt.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1))))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (cbrt.f32 (+.f32 (pow.f32 (log1p.f32 (pow.f32 u1 3)) 2) (*.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (+.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (cbrt.f32 (-.f32 (pow.f32 (log1p.f32 (pow.f32 u1 3)) 2) (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) 2))) (*.f32 (cbrt.f32 (sqrt.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1))))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (cbrt.f32 (+.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1))) (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (sqrt.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1))) 3/2) (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3) (pow.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1))) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (log1p.f32 (fma.f32 u1 u1 u1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log1p.f32 (fma.f32 u1 u1 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log1p.f32 (fma.f32 u1 u1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log1p.f32 (fma.f32 u1 u1 u1))) (sqrt.f32 (log1p.f32 (fma.f32 u1 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log1p.f32 (fma.f32 u1 u1 u1))) (pow.f32 (cbrt.f32 (log1p.f32 (fma.f32 u1 u1 u1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (log1p.f32 (fma.f32 u1 u1 u1))) 2) (cbrt.f32 (log1p.f32 (fma.f32 u1 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log1p.f32 (fma.f32 u1 u1 u1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log1p.f32 (fma.f32 u1 u1 u1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 (fma.f32 u1 u1 u1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log1p.f32 (fma.f32 u1 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log1p.f32 (fma.f32 u1 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (log1p.f32 (fma.f32 u1 u1 u1))) 1))))))

simplify117.0ms (0.8%)

Algorithm
egg-herbie
Rules
1504×fma-def
1014×+-commutative
918×*-commutative
690×unswap-sqr
440×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02405531
16504743
222594423
372364423
Stop Event
node limit
Counts
69 → 152
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (-.f32 (*.f32 -2 (log.f32 (/.f32 1 u1))) (+.f32 (*.f32 -3 (log.f32 (/.f32 1 u1))) (log.f32 -1)))) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(+.f32 (*.f32 1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -2 (log.f32 (/.f32 1 u1))) (+.f32 (*.f32 -3 (log.f32 (/.f32 1 u1))) (log.f32 -1))))))) (*.f32 (sqrt.f32 (-.f32 (*.f32 -2 (log.f32 (/.f32 1 u1))) (+.f32 (*.f32 -3 (log.f32 (/.f32 1 u1))) (log.f32 -1)))) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))))
(+.f32 (*.f32 1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (-.f32 1/2 (pow.f32 (*.f32 1/2 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -2 (log.f32 (/.f32 1 u1))) (+.f32 (*.f32 -3 (log.f32 (/.f32 1 u1))) (log.f32 -1)))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -2 (log.f32 (/.f32 1 u1))) (+.f32 (*.f32 -3 (log.f32 (/.f32 1 u1))) (log.f32 -1))))))) (+.f32 (*.f32 1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -2 (log.f32 (/.f32 1 u1))) (+.f32 (*.f32 -3 (log.f32 (/.f32 1 u1))) (log.f32 -1))))))) (*.f32 (sqrt.f32 (-.f32 (*.f32 -2 (log.f32 (/.f32 1 u1))) (+.f32 (*.f32 -3 (log.f32 (/.f32 1 u1))) (log.f32 -1)))) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))))
(+.f32 (*.f32 1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (-.f32 1/2 (pow.f32 (*.f32 1/2 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -2 (log.f32 (/.f32 1 u1))) (+.f32 (*.f32 -3 (log.f32 (/.f32 1 u1))) (log.f32 -1)))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -2 (log.f32 (/.f32 1 u1))) (+.f32 (*.f32 -3 (log.f32 (/.f32 1 u1))) (log.f32 -1))))))) (+.f32 (*.f32 1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -2 (log.f32 (/.f32 1 u1))) (+.f32 (*.f32 -3 (log.f32 (/.f32 1 u1))) (log.f32 -1))))))) (+.f32 (*.f32 (sqrt.f32 (-.f32 (*.f32 -2 (log.f32 (/.f32 1 u1))) (+.f32 (*.f32 -3 (log.f32 (/.f32 1 u1))) (log.f32 -1)))) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (*.f32 1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (-.f32 1/3 (*.f32 1/2 (/.f32 (-.f32 1/2 (pow.f32 (*.f32 1/2 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -2 (log.f32 (/.f32 1 u1))) (+.f32 (*.f32 -3 (log.f32 (/.f32 1 u1))) (log.f32 -1)))))) 2)) (-.f32 (*.f32 -2 (log.f32 (/.f32 1 u1))) (+.f32 (*.f32 -3 (log.f32 (/.f32 1 u1))) (log.f32 -1))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -2 (log.f32 (/.f32 1 u1))) (+.f32 (*.f32 -3 (log.f32 (/.f32 1 u1))) (log.f32 -1))))))))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (*.f32 -2 (log.f32 (/.f32 -1 u1))) (*.f32 -3 (log.f32 (/.f32 -1 u1))))))
(+.f32 (*.f32 1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -2 (log.f32 (/.f32 -1 u1))) (*.f32 -3 (log.f32 (/.f32 -1 u1)))))))) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (*.f32 -2 (log.f32 (/.f32 -1 u1))) (*.f32 -3 (log.f32 (/.f32 -1 u1)))))))
(+.f32 (*.f32 1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (-.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -2 (log.f32 (/.f32 -1 u1))) (*.f32 -3 (log.f32 (/.f32 -1 u1))))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -2 (log.f32 (/.f32 -1 u1))) (*.f32 -3 (log.f32 (/.f32 -1 u1)))))))) (+.f32 (*.f32 1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -2 (log.f32 (/.f32 -1 u1))) (*.f32 -3 (log.f32 (/.f32 -1 u1)))))))) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (*.f32 -2 (log.f32 (/.f32 -1 u1))) (*.f32 -3 (log.f32 (/.f32 -1 u1))))))))
(+.f32 (*.f32 1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (+.f32 1/3 (*.f32 -1/2 (/.f32 (-.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -2 (log.f32 (/.f32 -1 u1))) (*.f32 -3 (log.f32 (/.f32 -1 u1))))))) 2)) (-.f32 (*.f32 -2 (log.f32 (/.f32 -1 u1))) (*.f32 -3 (log.f32 (/.f32 -1 u1)))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -2 (log.f32 (/.f32 -1 u1))) (*.f32 -3 (log.f32 (/.f32 -1 u1)))))))) (+.f32 (*.f32 1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (-.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -2 (log.f32 (/.f32 -1 u1))) (*.f32 -3 (log.f32 (/.f32 -1 u1))))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -2 (log.f32 (/.f32 -1 u1))) (*.f32 -3 (log.f32 (/.f32 -1 u1)))))))) (+.f32 (*.f32 1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -2 (log.f32 (/.f32 -1 u1))) (*.f32 -3 (log.f32 (/.f32 -1 u1)))))))) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (*.f32 -2 (log.f32 (/.f32 -1 u1))) (*.f32 -3 (log.f32 (/.f32 -1 u1)))))))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 (log.f32 (+.f32 (pow.f32 u1 2) (+.f32 1 u1))) (log.f32 (-.f32 1 (pow.f32 u1 3)))))))
(+.f32 (*.f32 -4/3 (*.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (-.f32 (log.f32 (+.f32 (pow.f32 u1 2) (+.f32 1 u1))) (log.f32 (-.f32 1 (pow.f32 u1 3))))))) (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 (log.f32 (+.f32 (pow.f32 u1 2) (+.f32 1 u1))) (log.f32 (-.f32 1 (pow.f32 u1 3))))))))
(+.f32 (*.f32 -4/3 (*.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (-.f32 (log.f32 (+.f32 (pow.f32 u1 2) (+.f32 1 u1))) (log.f32 (-.f32 1 (pow.f32 u1 3))))))) (+.f32 (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 (log.f32 (+.f32 (pow.f32 u1 2) (+.f32 1 u1))) (log.f32 (-.f32 1 (pow.f32 u1 3))))))) (*.f32 4/15 (*.f32 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (sqrt.f32 (-.f32 (log.f32 (+.f32 (pow.f32 u1 2) (+.f32 1 u1))) (log.f32 (-.f32 1 (pow.f32 u1 3)))))))))
(+.f32 (*.f32 -4/3 (*.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (-.f32 (log.f32 (+.f32 (pow.f32 u1 2) (+.f32 1 u1))) (log.f32 (-.f32 1 (pow.f32 u1 3))))))) (+.f32 (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 (log.f32 (+.f32 (pow.f32 u1 2) (+.f32 1 u1))) (log.f32 (-.f32 1 (pow.f32 u1 3))))))) (+.f32 (*.f32 4/15 (*.f32 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (sqrt.f32 (-.f32 (log.f32 (+.f32 (pow.f32 u1 2) (+.f32 1 u1))) (log.f32 (-.f32 1 (pow.f32 u1 3))))))) (*.f32 -8/315 (*.f32 (*.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7)) (sqrt.f32 (-.f32 (log.f32 (+.f32 (pow.f32 u1 2) (+.f32 1 u1))) (log.f32 (-.f32 1 (pow.f32 u1 3))))))))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (+.f32 (pow.f32 u1 2) (+.f32 1 u1))) (log.f32 (-.f32 1 (pow.f32 u1 3))))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (+.f32 (pow.f32 u1 2) (+.f32 1 u1))) (log.f32 (-.f32 1 (pow.f32 u1 3))))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (+.f32 (pow.f32 u1 2) (+.f32 1 u1))) (log.f32 (-.f32 1 (pow.f32 u1 3))))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (+.f32 (pow.f32 u1 2) (+.f32 1 u1))) (log.f32 (-.f32 1 (pow.f32 u1 3))))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (+.f32 (pow.f32 u1 2) (+.f32 1 u1))) (log.f32 (-.f32 1 (pow.f32 u1 3))))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (+.f32 (pow.f32 u1 2) (+.f32 1 u1))) (log.f32 (-.f32 1 (pow.f32 u1 3))))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (+.f32 (pow.f32 u1 2) (+.f32 1 u1))) (log.f32 (-.f32 1 (pow.f32 u1 3))))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (+.f32 (pow.f32 u1 2) (+.f32 1 u1))) (log.f32 (-.f32 1 (pow.f32 u1 3))))))
u1
(+.f32 (*.f32 1/2 (pow.f32 u1 2)) u1)
(+.f32 (*.f32 1/2 (pow.f32 u1 2)) (+.f32 (*.f32 -2/3 (pow.f32 u1 3)) u1))
(+.f32 (*.f32 1/2 (pow.f32 u1 2)) (+.f32 (*.f32 -2/3 (pow.f32 u1 3)) (+.f32 (*.f32 1/4 (pow.f32 u1 4)) u1)))
(*.f32 -2 (log.f32 (/.f32 1 u1)))
(+.f32 (*.f32 -2 (log.f32 (/.f32 1 u1))) (/.f32 1 u1))
(+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (+.f32 (*.f32 -2 (log.f32 (/.f32 1 u1))) (/.f32 1 u1)))
(-.f32 (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (+.f32 (*.f32 -2 (log.f32 (/.f32 1 u1))) (/.f32 1 u1))) (*.f32 2/3 (/.f32 1 (pow.f32 u1 3))))
(*.f32 -2 (log.f32 (/.f32 -1 u1)))
(+.f32 (*.f32 -2 (log.f32 (/.f32 -1 u1))) (/.f32 1 u1))
(+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (+.f32 (*.f32 -2 (log.f32 (/.f32 -1 u1))) (/.f32 1 u1)))
(-.f32 (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (+.f32 (*.f32 -2 (log.f32 (/.f32 -1 u1))) (/.f32 1 u1))) (*.f32 2/3 (/.f32 1 (pow.f32 u1 3))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))) 1)
(/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 (pow.f32 u1 3)) 3) (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) 3)))) (sqrt.f32 (+.f32 (pow.f32 (log1p.f32 (pow.f32 u1 3)) 2) (*.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (+.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))))))
(/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 (pow.f32 u1 3)) 2) (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) 2)))) (sqrt.f32 (+.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))))
(/.f32 (*.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 (pow.f32 u1 3)) 3) (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) 3))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (sqrt.f32 (+.f32 (pow.f32 (log1p.f32 (pow.f32 u1 3)) 2) (*.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (+.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))))))
(/.f32 (*.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 (pow.f32 u1 3)) 2) (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) 2))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (sqrt.f32 (+.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))))
(/.f32 (*.f32 (cbrt.f32 (-.f32 (pow.f32 (log1p.f32 (pow.f32 u1 3)) 3) (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) 3))) (*.f32 (cbrt.f32 (sqrt.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1))))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (cbrt.f32 (+.f32 (pow.f32 (log1p.f32 (pow.f32 u1 3)) 2) (*.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (+.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))))))
(/.f32 (*.f32 (cbrt.f32 (-.f32 (pow.f32 (log1p.f32 (pow.f32 u1 3)) 2) (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) 2))) (*.f32 (cbrt.f32 (sqrt.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1))))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (cbrt.f32 (+.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))))
(pow.f32 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 1)
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2)
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 3)
(pow.f32 (pow.f32 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3) 1/3)
(sqrt.f32 (*.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1))) (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2)))
(log.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (sqrt.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1))))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))
(cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3))
(cbrt.f32 (*.f32 (pow.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1))) 3/2) (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)))
(cbrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3) (pow.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1))) 3/2)))
(expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(exp.f32 (log.f32 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 1))
(log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(-.f32 (exp.f32 (log1p.f32 (log1p.f32 (fma.f32 u1 u1 u1)))) 1)
(*.f32 (log1p.f32 (fma.f32 u1 u1 u1)) 1)
(*.f32 1 (log1p.f32 (fma.f32 u1 u1 u1)))
(*.f32 (sqrt.f32 (log1p.f32 (fma.f32 u1 u1 u1))) (sqrt.f32 (log1p.f32 (fma.f32 u1 u1 u1))))
(*.f32 (cbrt.f32 (log1p.f32 (fma.f32 u1 u1 u1))) (pow.f32 (cbrt.f32 (log1p.f32 (fma.f32 u1 u1 u1))) 2))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 (fma.f32 u1 u1 u1))) 2) (cbrt.f32 (log1p.f32 (fma.f32 u1 u1 u1))))
(pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) 1)
(pow.f32 (sqrt.f32 (log1p.f32 (fma.f32 u1 u1 u1))) 2)
(pow.f32 (cbrt.f32 (log1p.f32 (fma.f32 u1 u1 u1))) 3)
(pow.f32 (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) 3) 1/3)
(sqrt.f32 (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) 2))
(log.f32 (+.f32 (fma.f32 u1 u1 u1) 1))
(cbrt.f32 (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) 3))
(expm1.f32 (log1p.f32 (log1p.f32 (fma.f32 u1 u1 u1))))
(exp.f32 (log.f32 (log1p.f32 (fma.f32 u1 u1 u1))))
(exp.f32 (*.f32 (log.f32 (log1p.f32 (fma.f32 u1 u1 u1))) 1))
Outputs
(*.f32 (sqrt.f32 (-.f32 (*.f32 -2 (log.f32 (/.f32 1 u1))) (+.f32 (*.f32 -3 (log.f32 (/.f32 1 u1))) (log.f32 -1)))) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 (-.f32 (*.f32 -2 (neg.f32 (log.f32 u1))) (fma.f32 -3 (neg.f32 (log.f32 u1)) (log.f32 -1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (-.f32 (*.f32 (neg.f32 (log.f32 u1)) 1) (log.f32 -1))) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1))) (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))))
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u1
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(fma.f32 u1 (*.f32 u1 1/2) u1)
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(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))
(*.f32 (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)) (sqrt.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))))
(cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3))
(*.f32 (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)) (sqrt.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))))
(cbrt.f32 (*.f32 (pow.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1))) 3/2) (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)))
(cbrt.f32 (*.f32 (pow.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1))) 3/2) (pow.f32 (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)) 3)))
(cbrt.f32 (*.f32 (pow.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1))) 3/2) (pow.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 3)))
(cbrt.f32 (*.f32 (pow.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1))) 3/2) (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 3)))
(cbrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3) (pow.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1))) 3/2)))
(cbrt.f32 (*.f32 (pow.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1))) 3/2) (pow.f32 (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)) 3)))
(cbrt.f32 (*.f32 (pow.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1))) 3/2) (pow.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 3)))
(cbrt.f32 (*.f32 (pow.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1))) 3/2) (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 3)))
(expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(*.f32 (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)) (sqrt.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))))
(exp.f32 (log.f32 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(*.f32 (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)) (sqrt.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))))
(exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 1))
(*.f32 (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)) (sqrt.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))))
(log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(*.f32 (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)) (sqrt.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))))
(-.f32 (exp.f32 (log1p.f32 (log1p.f32 (fma.f32 u1 u1 u1)))) 1)
(log1p.f32 (fma.f32 u1 u1 u1))
(*.f32 (log1p.f32 (fma.f32 u1 u1 u1)) 1)
(log1p.f32 (fma.f32 u1 u1 u1))
(*.f32 1 (log1p.f32 (fma.f32 u1 u1 u1)))
(log1p.f32 (fma.f32 u1 u1 u1))
(*.f32 (sqrt.f32 (log1p.f32 (fma.f32 u1 u1 u1))) (sqrt.f32 (log1p.f32 (fma.f32 u1 u1 u1))))
(log1p.f32 (fma.f32 u1 u1 u1))
(*.f32 (cbrt.f32 (log1p.f32 (fma.f32 u1 u1 u1))) (pow.f32 (cbrt.f32 (log1p.f32 (fma.f32 u1 u1 u1))) 2))
(log1p.f32 (fma.f32 u1 u1 u1))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 (fma.f32 u1 u1 u1))) 2) (cbrt.f32 (log1p.f32 (fma.f32 u1 u1 u1))))
(log1p.f32 (fma.f32 u1 u1 u1))
(pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) 1)
(log1p.f32 (fma.f32 u1 u1 u1))
(pow.f32 (sqrt.f32 (log1p.f32 (fma.f32 u1 u1 u1))) 2)
(log1p.f32 (fma.f32 u1 u1 u1))
(pow.f32 (cbrt.f32 (log1p.f32 (fma.f32 u1 u1 u1))) 3)
(log1p.f32 (fma.f32 u1 u1 u1))
(pow.f32 (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) 3) 1/3)
(log1p.f32 (fma.f32 u1 u1 u1))
(sqrt.f32 (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) 2))
(log1p.f32 (fma.f32 u1 u1 u1))
(log.f32 (+.f32 (fma.f32 u1 u1 u1) 1))
(log1p.f32 (fma.f32 u1 u1 u1))
(cbrt.f32 (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) 3))
(log1p.f32 (fma.f32 u1 u1 u1))
(expm1.f32 (log1p.f32 (log1p.f32 (fma.f32 u1 u1 u1))))
(log1p.f32 (fma.f32 u1 u1 u1))
(exp.f32 (log.f32 (log1p.f32 (fma.f32 u1 u1 u1))))
(log1p.f32 (fma.f32 u1 u1 u1))
(exp.f32 (*.f32 (log.f32 (log1p.f32 (fma.f32 u1 u1 u1))) 1))
(log1p.f32 (fma.f32 u1 u1 u1))

localize42.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
0.3b
(*.f32 u2 (PI.f32))
0.4b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (*.f32 u2 (PI.f32))))
Compiler

Compiled 40 to 15 computations (62.5% saved)

series28.0ms (0.2%)

Counts
2 → 20
Calls

9 calls:

TimeVariablePointExpression
22.0ms
u2
@0
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (*.f32 u2 (PI.f32))))
1.0ms
u1
@inf
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (*.f32 u2 (PI.f32))))
1.0ms
u1
@-inf
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (*.f32 u2 (PI.f32))))
1.0ms
u1
@0
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (*.f32 u2 (PI.f32))))
1.0ms
u2
@-inf
(*.f32 u2 (PI.f32))

rewrite68.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
954×unswap-sqr
838×swap-sqr
474×sqr-pow
460×pow-sqr
322×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01546
130138
2366438
Stop Event
node limit
Counts
2 → 32
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (*.f32 u2 (PI.f32))))
(*.f32 u2 (PI.f32))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2))))) (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))))) 1) (+.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 2 u2)) (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 3) (pow.f32 (log1p.f32 u1) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (exp.f32 (log1p.f32 (*.f32 u2 (PI.f32)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 u2 (PI.f32)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 (exp.f32 (log1p.f32 (*.f32 u2 (PI.f32)))) (exp.f32 (log1p.f32 (*.f32 u2 (PI.f32))))) 1) (+.f32 (exp.f32 (log1p.f32 (*.f32 u2 (PI.f32)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 u2 (PI.f32)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 u2 (PI.f32))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 u2 (PI.f32)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (*.f32 u2 (PI.f32)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 u2) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 u2 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 u2 (PI.f32)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 u2 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 u2 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 u2 (PI.f32))))))))

simplify59.0ms (0.4%)

Algorithm
egg-herbie
Rules
1092×times-frac
926×associate-/l*
818×unswap-sqr
808×distribute-rgt-in
808×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01712950
14702568
221442472
Stop Event
node limit
Counts
52 → 81
Calls
Call 1
Inputs
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (*.f32 -1 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))
(+.f32 (*.f32 -1 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (*.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (PI.f32)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))
(+.f32 (*.f32 -1 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (*.f32 (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) (PI.f32)))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (*.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (PI.f32)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))))
(*.f32 2 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 u2 (PI.f32)))))
(+.f32 (*.f32 2 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 u2 (PI.f32))))) (*.f32 -1 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (*.f32 u2 (PI.f32)) u1))))
(+.f32 (*.f32 2 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 u2 (PI.f32))))) (+.f32 (*.f32 -1 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (*.f32 u2 (PI.f32)) u1))) (*.f32 -1 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (*.f32 u2 (*.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (PI.f32))) (pow.f32 u1 2))))))
(+.f32 (*.f32 2 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 u2 (PI.f32))))) (+.f32 (*.f32 -1 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (*.f32 u2 (PI.f32)) u1))) (+.f32 (*.f32 -1 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (*.f32 u2 (*.f32 (-.f32 1/3 (*.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 -1 u1)))))) (PI.f32))) (pow.f32 u1 3)))) (*.f32 -1 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (*.f32 u2 (*.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (PI.f32))) (pow.f32 u1 2)))))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(+.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2))))) -1)
(-.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2))))) 1)
(/.f32 (-.f32 (*.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2))))) (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))))) 1) (+.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2))))) 1))
(pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2))) 1)
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))) 2)
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))) 3)
(pow.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2))) 3) 1/3)
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 2)))
(log.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 2 u2)) (sqrt.f32 (log1p.f32 u1))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2))))))
(cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2))) 3))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 3)))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))))
(exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))))
(log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))))
(+.f32 (exp.f32 (log1p.f32 (*.f32 u2 (PI.f32)))) -1)
(-.f32 (exp.f32 (log1p.f32 (*.f32 u2 (PI.f32)))) 1)
(/.f32 (-.f32 (*.f32 (exp.f32 (log1p.f32 (*.f32 u2 (PI.f32)))) (exp.f32 (log1p.f32 (*.f32 u2 (PI.f32))))) 1) (+.f32 (exp.f32 (log1p.f32 (*.f32 u2 (PI.f32)))) 1))
(pow.f32 (*.f32 u2 (PI.f32)) 1)
(pow.f32 (sqrt.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 3)
(pow.f32 (pow.f32 (*.f32 u2 (PI.f32)) 3) 1/3)
(sqrt.f32 (pow.f32 (*.f32 u2 (PI.f32)) 2))
(log.f32 (pow.f32 (exp.f32 u2) (PI.f32)))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 u2 (PI.f32)))))
(cbrt.f32 (pow.f32 (*.f32 u2 (PI.f32)) 3))
(cbrt.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))
(cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3)))
(expm1.f32 (log1p.f32 (*.f32 u2 (PI.f32))))
(exp.f32 (log.f32 (*.f32 u2 (PI.f32))))
(log1p.f32 (expm1.f32 (*.f32 u2 (PI.f32))))
Outputs
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))
(*.f32 (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))) (*.f32 (*.f32 2 (*.f32 (sqrt.f32 -1) u2)) (PI.f32)))
(*.f32 (*.f32 (PI.f32) (*.f32 (sqrt.f32 -1) u2)) (*.f32 (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))) 2))
(+.f32 (*.f32 -1 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))
(fma.f32 -1 (*.f32 (/.f32 (sqrt.f32 -1) (/.f32 u1 (*.f32 u2 (PI.f32)))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))
(-.f32 (*.f32 (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))) (*.f32 (*.f32 2 (*.f32 (sqrt.f32 -1) u2)) (PI.f32))) (*.f32 (/.f32 (sqrt.f32 -1) (/.f32 (/.f32 u1 (PI.f32)) u2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))))
(-.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (sqrt.f32 -1) u2)) (*.f32 (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))) 2)) (*.f32 (/.f32 (sqrt.f32 -1) (/.f32 (/.f32 u1 u2) (PI.f32))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))))
(+.f32 (*.f32 -1 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (*.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (PI.f32)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))
(fma.f32 -1 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (sqrt.f32 -1) (/.f32 (*.f32 u1 u1) (*.f32 u2 (*.f32 (PI.f32) (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) -1/2) 2))))))) (fma.f32 -1 (*.f32 (/.f32 (sqrt.f32 -1) (/.f32 u1 (*.f32 u2 (PI.f32)))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))))
(+.f32 (*.f32 (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))) (*.f32 (*.f32 2 (*.f32 (sqrt.f32 -1) u2)) (PI.f32))) (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (neg.f32 (*.f32 (/.f32 (*.f32 (*.f32 u2 (PI.f32)) (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) -1/2) 2))) u1) (/.f32 (sqrt.f32 -1) u1))) (neg.f32 (/.f32 (sqrt.f32 -1) (/.f32 (/.f32 u1 (PI.f32)) u2))))))
(-.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (sqrt.f32 -1) u2)) (*.f32 (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))) 2)) (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (*.f32 (/.f32 (PI.f32) (/.f32 (/.f32 u1 u2) (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) -1/2) 2)))) (/.f32 (sqrt.f32 -1) u1)) (/.f32 (sqrt.f32 -1) (/.f32 (/.f32 u1 u2) (PI.f32))))))
(+.f32 (*.f32 -1 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (*.f32 (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) (PI.f32)))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (*.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (PI.f32)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))))
(fma.f32 -1 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (sqrt.f32 -1) (/.f32 (pow.f32 u1 3) (*.f32 u2 (*.f32 (PI.f32) (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) -1/2) 2)) (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))))))) (fma.f32 -1 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (sqrt.f32 -1) (/.f32 (*.f32 u1 u1) (*.f32 u2 (*.f32 (PI.f32) (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) -1/2) 2))))))) (fma.f32 -1 (*.f32 (/.f32 (sqrt.f32 -1) (/.f32 u1 (*.f32 u2 (PI.f32)))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))))
(+.f32 (-.f32 (*.f32 (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))) (*.f32 (*.f32 2 (*.f32 (sqrt.f32 -1) u2)) (PI.f32))) (*.f32 (/.f32 (sqrt.f32 -1) (/.f32 (/.f32 u1 (PI.f32)) u2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))) (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (neg.f32 (*.f32 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (*.f32 (*.f32 u2 (PI.f32)) (fma.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) -1/2) 2)) (+.f32 (log.f32 -1) (log.f32 u1))) 1/3)))) (neg.f32 (*.f32 (/.f32 (*.f32 (*.f32 u2 (PI.f32)) (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) -1/2) 2))) u1) (/.f32 (sqrt.f32 -1) u1))))))
(+.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (sqrt.f32 -1) u2)) (*.f32 (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))) 2)) (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (*.f32 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (neg.f32 (*.f32 (*.f32 u2 (PI.f32)) (fma.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) -1/2) 2)) (+.f32 (log.f32 -1) (log.f32 u1))) 1/3)))) (-.f32 (*.f32 (/.f32 (PI.f32) (/.f32 (/.f32 u1 u2) (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) -1/2) 2)))) (neg.f32 (/.f32 (sqrt.f32 -1) u1))) (/.f32 (sqrt.f32 -1) (/.f32 (/.f32 u1 u2) (PI.f32)))))))
(*.f32 2 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 u2 (PI.f32)))))
(*.f32 2 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (*.f32 u2 (PI.f32)) (pow.f32 (sqrt.f32 -1) 2))))
(*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (*.f32 u2 (*.f32 (PI.f32) -1)) 2))
(*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (*.f32 (PI.f32) (neg.f32 u2)) 2))
(+.f32 (*.f32 2 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 u2 (PI.f32))))) (*.f32 -1 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (*.f32 u2 (PI.f32)) u1))))
(fma.f32 2 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (*.f32 u2 (PI.f32)) (pow.f32 (sqrt.f32 -1) 2))) (neg.f32 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 u2 (/.f32 u1 (PI.f32))))))
(-.f32 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (*.f32 u2 (*.f32 (PI.f32) -1)) 2)) (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (*.f32 (/.f32 u2 u1) (PI.f32))))
(-.f32 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (*.f32 (PI.f32) (neg.f32 u2)) 2)) (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (*.f32 (/.f32 u2 u1) (PI.f32))))
(+.f32 (*.f32 2 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 u2 (PI.f32))))) (+.f32 (*.f32 -1 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (*.f32 u2 (PI.f32)) u1))) (*.f32 -1 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (*.f32 u2 (*.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (PI.f32))) (pow.f32 u1 2))))))
(fma.f32 2 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (*.f32 u2 (PI.f32)) (pow.f32 (sqrt.f32 -1) 2))) (*.f32 -1 (+.f32 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 u2 (/.f32 u1 (PI.f32)))) (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (*.f32 u2 (*.f32 (PI.f32) (+.f32 1/2 (pow.f32 (*.f32 (*.f32 1/2 (/.f32 1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) 2)))) (*.f32 u1 u1))))))
(fma.f32 2 (*.f32 -1 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (/.f32 -1 u1))))) (*.f32 (neg.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (+.f32 (*.f32 (/.f32 u2 u1) (PI.f32)) (*.f32 (/.f32 u2 (*.f32 u1 u1)) (*.f32 (PI.f32) (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1/2 (sqrt.f32 -1))) 2)))))))
(-.f32 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (*.f32 (PI.f32) (neg.f32 u2)) 2)) (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (*.f32 (/.f32 u2 u1) (+.f32 (/.f32 (PI.f32) (/.f32 u1 (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1/2 (sqrt.f32 -1))) 2)))) (PI.f32)))))
(+.f32 (*.f32 2 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 u2 (PI.f32))))) (+.f32 (*.f32 -1 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (*.f32 u2 (PI.f32)) u1))) (+.f32 (*.f32 -1 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (*.f32 u2 (*.f32 (-.f32 1/3 (*.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 -1 u1)))))) (PI.f32))) (pow.f32 u1 3)))) (*.f32 -1 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (*.f32 u2 (*.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (PI.f32))) (pow.f32 u1 2)))))))
(fma.f32 2 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (*.f32 u2 (PI.f32)) (pow.f32 (sqrt.f32 -1) 2))) (fma.f32 -1 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 u2 (/.f32 u1 (PI.f32)))) (*.f32 -1 (+.f32 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (*.f32 u2 (*.f32 (PI.f32) (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 (*.f32 1/2 (/.f32 1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) 2)) (*.f32 (log.f32 (/.f32 -1 u1)) (pow.f32 (sqrt.f32 -1) 2))))))) (pow.f32 u1 3))) (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (*.f32 u2 (*.f32 (PI.f32) (+.f32 1/2 (pow.f32 (*.f32 (*.f32 1/2 (/.f32 1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) 2)))) (*.f32 u1 u1)))))))
(fma.f32 2 (*.f32 -1 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (/.f32 -1 u1))))) (-.f32 (*.f32 (neg.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (+.f32 (*.f32 (/.f32 u2 (*.f32 u1 u1)) (*.f32 (PI.f32) (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1/2 (sqrt.f32 -1))) 2)))) (*.f32 (/.f32 u2 (pow.f32 u1 3)) (*.f32 (PI.f32) (-.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1/2 (sqrt.f32 -1))) 2)) (log.f32 (/.f32 -1 u1))))))))) (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (*.f32 (/.f32 u2 u1) (PI.f32)))))
(fma.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (neg.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))))) (*.f32 (neg.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (+.f32 (*.f32 (/.f32 u2 u1) (PI.f32)) (*.f32 (/.f32 u2 (*.f32 u1 u1)) (+.f32 (/.f32 (+.f32 1/3 (*.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1/2 (sqrt.f32 -1))) 2)) (log.f32 (/.f32 -1 u1))))) (/.f32 u1 (PI.f32))) (*.f32 (PI.f32) (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1/2 (sqrt.f32 -1))) 2))))))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (*.f32 2 (*.f32 (sqrt.f32 -1) u2)) (PI.f32)))
(*.f32 (*.f32 (PI.f32) (*.f32 (sqrt.f32 -1) u2)) (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) 2))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (*.f32 2 (*.f32 (sqrt.f32 -1) u2)) (PI.f32)))
(*.f32 (*.f32 (PI.f32) (*.f32 (sqrt.f32 -1) u2)) (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) 2))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (*.f32 2 (*.f32 (sqrt.f32 -1) u2)) (PI.f32)))
(*.f32 (*.f32 (PI.f32) (*.f32 (sqrt.f32 -1) u2)) (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) 2))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (*.f32 2 (*.f32 (sqrt.f32 -1) u2)) (PI.f32)))
(*.f32 (*.f32 (PI.f32) (*.f32 (sqrt.f32 -1) u2)) (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) 2))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (*.f32 2 (*.f32 (sqrt.f32 -1) u2)) (PI.f32)))
(*.f32 (*.f32 (PI.f32) (*.f32 (sqrt.f32 -1) u2)) (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) 2))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (*.f32 2 (*.f32 (sqrt.f32 -1) u2)) (PI.f32)))
(*.f32 (*.f32 (PI.f32) (*.f32 (sqrt.f32 -1) u2)) (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) 2))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (*.f32 2 (*.f32 (sqrt.f32 -1) u2)) (PI.f32)))
(*.f32 (*.f32 (PI.f32) (*.f32 (sqrt.f32 -1) u2)) (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) 2))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (*.f32 2 (*.f32 (sqrt.f32 -1) u2)) (PI.f32)))
(*.f32 (*.f32 (PI.f32) (*.f32 (sqrt.f32 -1) u2)) (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) 2))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (*.f32 2 (*.f32 (sqrt.f32 -1) u2)) (PI.f32)))
(*.f32 (*.f32 (PI.f32) (*.f32 (sqrt.f32 -1) u2)) (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) 2))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (*.f32 2 (*.f32 (sqrt.f32 -1) u2)) (PI.f32)))
(*.f32 (*.f32 (PI.f32) (*.f32 (sqrt.f32 -1) u2)) (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) 2))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (*.f32 2 (*.f32 (sqrt.f32 -1) u2)) (PI.f32)))
(*.f32 (*.f32 (PI.f32) (*.f32 (sqrt.f32 -1) u2)) (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) 2))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (*.f32 2 (*.f32 (sqrt.f32 -1) u2)) (PI.f32)))
(*.f32 (*.f32 (PI.f32) (*.f32 (sqrt.f32 -1) u2)) (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) 2))
(+.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2))))) -1)
(*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))
(*.f32 (PI.f32) (*.f32 (*.f32 2 u2) (sqrt.f32 (log1p.f32 u1))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2))))) 1)
(*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))
(*.f32 (PI.f32) (*.f32 (*.f32 2 u2) (sqrt.f32 (log1p.f32 u1))))
(/.f32 (-.f32 (*.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2))))) (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))))) 1) (+.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2))))) 1))
(/.f32 (*.f32 (+.f32 1 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))))) (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))) (+.f32 1 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))))))
(/.f32 (expm1.f32 (*.f32 2 (log1p.f32 (*.f32 (PI.f32) (*.f32 (*.f32 2 u2) (sqrt.f32 (log1p.f32 u1))))))) (+.f32 1 (exp.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 (*.f32 2 u2) (sqrt.f32 (log1p.f32 u1))))))))
(pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2))) 1)
(*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))
(*.f32 (PI.f32) (*.f32 (*.f32 2 u2) (sqrt.f32 (log1p.f32 u1))))
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))) 2)
(*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))
(*.f32 (PI.f32) (*.f32 (*.f32 2 u2) (sqrt.f32 (log1p.f32 u1))))
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))) 3)
(*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))
(*.f32 (PI.f32) (*.f32 (*.f32 2 u2) (sqrt.f32 (log1p.f32 u1))))
(pow.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2))) 3) 1/3)
(*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))
(*.f32 (PI.f32) (*.f32 (*.f32 2 u2) (sqrt.f32 (log1p.f32 u1))))
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 2)))
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (*.f32 2 (*.f32 u2 (PI.f32))) 2)))
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (*.f32 u2 (*.f32 2 (PI.f32))) 2)))
(log.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 2 u2)) (sqrt.f32 (log1p.f32 u1))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 2 u2))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (*.f32 2 u2) (log.f32 (exp.f32 (PI.f32)))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2))))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))
(*.f32 (PI.f32) (*.f32 (*.f32 2 u2) (sqrt.f32 (log1p.f32 u1))))
(cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2))) 3))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))
(*.f32 (PI.f32) (*.f32 (*.f32 2 u2) (sqrt.f32 (log1p.f32 u1))))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 3)))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (*.f32 2 (*.f32 u2 (PI.f32))) 3)))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (*.f32 u2 (*.f32 2 (PI.f32))) 3)))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 3)))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (*.f32 2 (*.f32 u2 (PI.f32))) 3)))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (*.f32 u2 (*.f32 2 (PI.f32))) 3)))
(expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))
(*.f32 (PI.f32) (*.f32 (*.f32 2 u2) (sqrt.f32 (log1p.f32 u1))))
(exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))
(*.f32 (PI.f32) (*.f32 (*.f32 2 u2) (sqrt.f32 (log1p.f32 u1))))
(log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))
(*.f32 (PI.f32) (*.f32 (*.f32 2 u2) (sqrt.f32 (log1p.f32 u1))))
(+.f32 (exp.f32 (log1p.f32 (*.f32 u2 (PI.f32)))) -1)
(*.f32 u2 (PI.f32))
(-.f32 (exp.f32 (log1p.f32 (*.f32 u2 (PI.f32)))) 1)
(*.f32 u2 (PI.f32))
(/.f32 (-.f32 (*.f32 (exp.f32 (log1p.f32 (*.f32 u2 (PI.f32)))) (exp.f32 (log1p.f32 (*.f32 u2 (PI.f32))))) 1) (+.f32 (exp.f32 (log1p.f32 (*.f32 u2 (PI.f32)))) 1))
(/.f32 (*.f32 (+.f32 1 (exp.f32 (log1p.f32 (*.f32 u2 (PI.f32))))) (*.f32 u2 (PI.f32))) (+.f32 1 (exp.f32 (log1p.f32 (*.f32 u2 (PI.f32))))))
(/.f32 (expm1.f32 (*.f32 2 (log1p.f32 (*.f32 u2 (PI.f32))))) (+.f32 1 (exp.f32 (log1p.f32 (*.f32 u2 (PI.f32))))))
(pow.f32 (*.f32 u2 (PI.f32)) 1)
(*.f32 u2 (PI.f32))
(pow.f32 (sqrt.f32 (*.f32 u2 (PI.f32))) 2)
(*.f32 u2 (PI.f32))
(pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 3)
(*.f32 u2 (PI.f32))
(pow.f32 (pow.f32 (*.f32 u2 (PI.f32)) 3) 1/3)
(*.f32 u2 (PI.f32))
(sqrt.f32 (pow.f32 (*.f32 u2 (PI.f32)) 2))
(fabs.f32 (*.f32 u2 (PI.f32)))
(log.f32 (pow.f32 (exp.f32 u2) (PI.f32)))
(*.f32 u2 (PI.f32))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 u2 (PI.f32)))))
(*.f32 u2 (PI.f32))
(cbrt.f32 (pow.f32 (*.f32 u2 (PI.f32)) 3))
(*.f32 u2 (PI.f32))
(cbrt.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))
(*.f32 u2 (PI.f32))
(cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3)))
(*.f32 u2 (PI.f32))
(expm1.f32 (log1p.f32 (*.f32 u2 (PI.f32))))
(*.f32 u2 (PI.f32))
(exp.f32 (log.f32 (*.f32 u2 (PI.f32))))
(*.f32 u2 (PI.f32))
(log1p.f32 (expm1.f32 (*.f32 u2 (PI.f32))))
(*.f32 u2 (PI.f32))

localize79.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
0.3b
(-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1))
0.3b
(*.f32 (*.f32 2 (PI.f32)) u2)
0.4b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
Compiler

Compiled 78 to 26 computations (66.7% saved)

series32.0ms (0.2%)

Counts
2 → 32
Calls

9 calls:

TimeVariablePointExpression
23.0ms
u2
@inf
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
5.0ms
u1
@inf
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
2.0ms
u2
@0
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
1.0ms
u1
@-inf
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
0.0ms
u1
@0
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))

rewrite95.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
902×associate-*r/
816×distribute-lft-in
698×associate-*l/
398×add-sqr-sqrt
386×*-un-lft-identity
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01982
139070
2496438
Stop Event
node limit
Counts
2 → 224
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1))
Outputs
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simplify159.0ms (1.1%)

Algorithm
egg-herbie
Rules
1670×times-frac
1108×associate-/l*
1070×associate-*r*
1064×associate-/r*
1008×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05988848
116277680
Stop Event
node limit
Counts
256 → 366
Calls
Call 1
Inputs
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))))
(+.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))) (*.f32 1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))))))
(+.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))) (+.f32 (*.f32 1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))))) (*.f32 1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (-.f32 1/2 (pow.f32 (*.f32 1/2 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))))))))
(+.f32 (*.f32 1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (-.f32 1/3 (*.f32 1/2 (/.f32 (-.f32 1/2 (pow.f32 (*.f32 1/2 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))))) 2)) (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))))) (+.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))) (+.f32 (*.f32 1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))))) (*.f32 1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (-.f32 1/2 (pow.f32 (*.f32 1/2 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))))))))
(*.f32 (sqrt.f32 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1))))) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(+.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1)))))) (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1))) (*.f32 (sqrt.f32 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1))))) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))))
(+.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1)))))) (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1))) (+.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1)))))) (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (-.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1))))))) 2))) (pow.f32 u1 2)))) (*.f32 (sqrt.f32 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1))))) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))))
(+.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1)))))) (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1))) (+.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1)))))) (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (-.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1))))))) 2))) (pow.f32 u1 2)))) (+.f32 (*.f32 (sqrt.f32 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1))))) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1)))))) (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (+.f32 (*.f32 -1/2 (/.f32 (-.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1))))))) 2)) (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1)))))) 1/3)) (pow.f32 u1 3)))))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u1 2))))))))
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(pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/3)
(pow.f32 (pow.f32 (log1p.f32 u1) 2) 1/2)
(neg.f32 (log1p.f32 u1))
(sqrt.f32 (pow.f32 (log1p.f32 u1) 2))
(log.f32 (+.f32 u1 1))
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3))
(expm1.f32 (log1p.f32 (log1p.f32 u1)))
(exp.f32 (log.f32 (log1p.f32 u1)))
(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1))
(log1p.f32 u1)
(fma.f32 1 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1))
(fma.f32 (sqrt.f32 (log1p.f32 (*.f32 u1 u1))) (sqrt.f32 (log1p.f32 (*.f32 u1 u1))) (log1p.f32 u1))
(fma.f32 (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 u1 u1))) 2) (cbrt.f32 (log1p.f32 (*.f32 u1 u1))) (log1p.f32 u1))
Outputs
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (log.f32 -1) (*.f32 (neg.f32 (log.f32 u1)) -2)))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (+.f32 (log.f32 u1) (log.f32 -1)))))
(+.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))) (*.f32 1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))))))
(fma.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (log.f32 -1) (*.f32 (neg.f32 (log.f32 u1)) -2)))) (*.f32 (*.f32 1/2 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1)) (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (log.f32 -1) (*.f32 (neg.f32 (log.f32 u1)) -2)))))))
(fma.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (+.f32 (log.f32 u1) (log.f32 -1)))) (*.f32 1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (neg.f32 (+.f32 (log.f32 u1) (log.f32 -1))))))))
(+.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))) (+.f32 (*.f32 1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))))) (*.f32 1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (-.f32 1/2 (pow.f32 (*.f32 1/2 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))))))))
(fma.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (log.f32 -1) (*.f32 (neg.f32 (log.f32 u1)) -2)))) (*.f32 1/2 (+.f32 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (log.f32 -1) (*.f32 (neg.f32 (log.f32 u1)) -2)))))) (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (log.f32 -1) (*.f32 (neg.f32 (log.f32 u1)) -2))))) (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 (*.f32 u1 u1) (-.f32 1/2 (pow.f32 (*.f32 1/2 (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (log.f32 -1) (*.f32 (neg.f32 (log.f32 u1)) -2)))))) 2))))))))
(fma.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (+.f32 (log.f32 u1) (log.f32 -1)))) (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (neg.f32 (+.f32 (log.f32 u1) (log.f32 -1))))) (+.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (/.f32 (-.f32 1/2 (pow.f32 (*.f32 1/2 (sqrt.f32 (/.f32 1 (neg.f32 (+.f32 (log.f32 u1) (log.f32 -1)))))) 2)) u1))))))
(+.f32 (*.f32 1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (-.f32 1/3 (*.f32 1/2 (/.f32 (-.f32 1/2 (pow.f32 (*.f32 1/2 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))))) 2)) (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))))) (+.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))) (+.f32 (*.f32 1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))))) (*.f32 1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (-.f32 1/2 (pow.f32 (*.f32 1/2 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))))))))
(fma.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (log.f32 -1) (*.f32 (neg.f32 (log.f32 u1)) -2))))) (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 (pow.f32 u1 3) (+.f32 1/3 (*.f32 -1/2 (/.f32 (-.f32 1/2 (pow.f32 (*.f32 1/2 (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (log.f32 -1) (*.f32 (neg.f32 (log.f32 u1)) -2)))))) 2)) (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (log.f32 -1) (*.f32 (neg.f32 (log.f32 u1)) -2))))))))) (fma.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (log.f32 -1) (*.f32 (neg.f32 (log.f32 u1)) -2)))) (*.f32 1/2 (+.f32 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (log.f32 -1) (*.f32 (neg.f32 (log.f32 u1)) -2)))))) (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (log.f32 -1) (*.f32 (neg.f32 (log.f32 u1)) -2))))) (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 (*.f32 u1 u1) (-.f32 1/2 (pow.f32 (*.f32 1/2 (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (log.f32 -1) (*.f32 (neg.f32 (log.f32 u1)) -2)))))) 2)))))))))
(fma.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (neg.f32 (+.f32 (log.f32 u1) (log.f32 -1))))) (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 u1 3)) (+.f32 1/3 (/.f32 (*.f32 -1/2 (-.f32 1/2 (pow.f32 (*.f32 1/2 (sqrt.f32 (/.f32 1 (neg.f32 (+.f32 (log.f32 u1) (log.f32 -1)))))) 2))) (neg.f32 (+.f32 (log.f32 u1) (log.f32 -1))))))) (fma.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (+.f32 (log.f32 u1) (log.f32 -1)))) (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (neg.f32 (+.f32 (log.f32 u1) (log.f32 -1))))) (+.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (/.f32 (-.f32 1/2 (pow.f32 (*.f32 1/2 (sqrt.f32 (/.f32 1 (neg.f32 (+.f32 (log.f32 u1) (log.f32 -1)))))) 2)) u1)))))))
(*.f32 (sqrt.f32 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1))))) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (*.f32 (log.f32 (/.f32 -1 u1)) 1)))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 -1 u1))))
(+.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1)))))) (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1))) (*.f32 (sqrt.f32 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1))))) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))))
(fma.f32 1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (*.f32 (log.f32 (/.f32 -1 u1)) 1)))) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (*.f32 (log.f32 (/.f32 -1 u1)) 1))))
(fma.f32 1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(+.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1)))))) (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1))) (+.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1)))))) (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (-.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1))))))) 2))) (pow.f32 u1 2)))) (*.f32 (sqrt.f32 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1))))) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))))
(fma.f32 1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (*.f32 (log.f32 (/.f32 -1 u1)) 1)))) (fma.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (*.f32 (log.f32 (/.f32 -1 u1)) 1))) (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 (*.f32 u1 u1) (-.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (*.f32 (log.f32 (/.f32 -1 u1)) 1))) -1/2) 2))))) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (*.f32 (log.f32 (/.f32 -1 u1)) 1)))))
(+.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (*.f32 (*.f32 1/2 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (+.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 u1 u1)) (-.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) -1/2) 2))))))
(+.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1)))))) (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1))) (+.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1)))))) (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (-.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1))))))) 2))) (pow.f32 u1 2)))) (+.f32 (*.f32 (sqrt.f32 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1))))) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1)))))) (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (+.f32 (*.f32 -1/2 (/.f32 (-.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1))))))) 2)) (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1)))))) 1/3)) (pow.f32 u1 3)))))))
(fma.f32 1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (*.f32 (log.f32 (/.f32 -1 u1)) 1)))) (fma.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (*.f32 (log.f32 (/.f32 -1 u1)) 1))) (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 (*.f32 u1 u1) (-.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (*.f32 (log.f32 (/.f32 -1 u1)) 1))) -1/2) 2))))) (fma.f32 (sqrt.f32 (*.f32 (log.f32 (/.f32 -1 u1)) 1)) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (*.f32 1/2 (sqrt.f32 (/.f32 1 (*.f32 (log.f32 (/.f32 -1 u1)) 1)))) (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 (pow.f32 u1 3) (fma.f32 -1/2 (/.f32 (-.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (*.f32 (log.f32 (/.f32 -1 u1)) 1))) -1/2) 2)) (*.f32 (log.f32 (/.f32 -1 u1)) 1)) 1/3)))))))
(+.f32 (fma.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 u1 3)) (fma.f32 -1/2 (/.f32 (-.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) -1/2) 2)) (log.f32 (/.f32 -1 u1))) 1/3)) (*.f32 1/2 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))))) (*.f32 (*.f32 1/2 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (+.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 u1 u1)) (-.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) -1/2) 2))))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u1 2))))))))
(*.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (*.f32 u1 u1))))))
(*.f32 (*.f32 u2 (PI.f32)) (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))) 2))
(+.f32 (*.f32 -4/3 (*.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u1 2)))))))) (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u1 2)))))))))
(fma.f32 -4/3 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (*.f32 u1 u1))))) (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (*.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (*.f32 u1 u1)))))))
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))) (+.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (*.f32 (*.f32 -4/3 (pow.f32 (PI.f32) 3)) (pow.f32 u2 3))))
(+.f32 (*.f32 4/15 (*.f32 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u1 2)))))))) (+.f32 (*.f32 -4/3 (*.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u1 2)))))))) (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u1 2))))))))))
(fma.f32 4/15 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (*.f32 u1 u1))))) (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (fma.f32 -4/3 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (*.f32 u1 u1))))) (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (*.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (*.f32 u1 u1))))))))
(fma.f32 4/15 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))) (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))) (+.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (*.f32 (*.f32 -4/3 (pow.f32 (PI.f32) 3)) (pow.f32 u2 3)))))
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(/.f32 (*.f32 (-.f32 (pow.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) 2) 3) (pow.f32 (pow.f32 (log1p.f32 u1) 2) 3)) (/.f32 1 (log1p.f32 u1))) (+.f32 (+.f32 (*.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) 2) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 2)) (*.f32 (log1p.f32 u1) (pow.f32 (log1p.f32 u1) 3))) (*.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) 2) (pow.f32 (log1p.f32 u1) 2))))
(/.f32 (/.f32 (-.f32 (pow.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) 2) 3) (pow.f32 (pow.f32 (log1p.f32 u1) 2) 3)) (log1p.f32 u1)) (+.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) 4) (+.f32 (*.f32 (log1p.f32 u1) (pow.f32 (log1p.f32 u1) 3)) (*.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) 2) (pow.f32 (log1p.f32 u1) 2)))))
(/.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) 6) (pow.f32 (log1p.f32 u1) 6)) (log1p.f32 u1)) (+.f32 (pow.f32 (log1p.f32 u1) 4) (+.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) 4) (*.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) 2) (pow.f32 (log1p.f32 u1) 2)))))
(/.f32 (*.f32 (-.f32 (*.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) 3) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 3)) (*.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (log1p.f32 u1) 3))) (/.f32 1 (pow.f32 (log1p.f32 u1) 2))) (pow.f32 (log1p.f32 u1) 3))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) 6) (pow.f32 (log1p.f32 u1) 6)) (*.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (log1p.f32 u1) 2)))
(-.f32 (/.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) 6) (*.f32 (log1p.f32 u1) (pow.f32 (log1p.f32 u1) 4))) (log1p.f32 u1))
(/.f32 (*.f32 (-.f32 (pow.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) 3) 3) (pow.f32 (pow.f32 (log1p.f32 u1) 3) 3)) (/.f32 1 (pow.f32 (log1p.f32 u1) 2))) (+.f32 (*.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) 3) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 3)) (+.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (log1p.f32 u1) 3)) (*.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) 3) (pow.f32 (log1p.f32 u1) 3)))))
(/.f32 (/.f32 (-.f32 (pow.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) 3) 3) (pow.f32 (pow.f32 (log1p.f32 u1) 3) 3)) (pow.f32 (log1p.f32 u1) 2)) (+.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) 6) (+.f32 (pow.f32 (log1p.f32 u1) 6) (*.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 3)))))
(/.f32 (/.f32 (-.f32 (pow.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) 3) 3) (pow.f32 (pow.f32 (log1p.f32 u1) 3) 3)) (pow.f32 (log1p.f32 u1) 2)) (+.f32 (+.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) 6) (pow.f32 (log1p.f32 u1) 6)) (*.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 3))))
(/.f32 (*.f32 (pow.f32 (log1p.f32 u1) 2) (sqrt.f32 (log1p.f32 u1))) (pow.f32 (log1p.f32 u1) 3/2))
(/.f32 (pow.f32 (log1p.f32 u1) 2) (/.f32 (pow.f32 (log1p.f32 u1) 3/2) (sqrt.f32 (log1p.f32 u1))))
(/.f32 (sqrt.f32 (log1p.f32 u1)) (/.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (log1p.f32 u1) 2)))
(/.f32 (*.f32 (pow.f32 (log1p.f32 u1) 2) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (/.f32 (pow.f32 (log1p.f32 u1) 2) (cbrt.f32 (log1p.f32 u1))))
(log1p.f32 u1)
(/.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3) -1) (pow.f32 (log1p.f32 u1) 2))
(neg.f32 (log1p.f32 u1))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 3) 1) (pow.f32 (log1p.f32 u1) 2))
(log1p.f32 u1)
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) 1) (log1p.f32 u1))
(log1p.f32 u1)
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 3) (*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))
(log1p.f32 u1)
(/.f32 (/.f32 (*.f32 -1 (pow.f32 (log1p.f32 u1) 3)) 1) (pow.f32 (log1p.f32 u1) 2))
(neg.f32 (log1p.f32 u1))
(/.f32 (/.f32 (*.f32 -1 (pow.f32 (log1p.f32 u1) 3)) (*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))
(neg.f32 (log1p.f32 u1))
(/.f32 (/.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 2)) (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1)))
(neg.f32 (log1p.f32 u1))
(/.f32 (/.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 2)) (sqrt.f32 (log1p.f32 u1))) (neg.f32 (sqrt.f32 (log1p.f32 u1))))
(log1p.f32 u1)
(/.f32 (/.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 2)) 1) (log1p.f32 u1))
(neg.f32 (log1p.f32 u1))
(/.f32 (/.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 2)) (pow.f32 (log1p.f32 u1) 1/4)) (*.f32 (pow.f32 (log1p.f32 u1) 1/4) (sqrt.f32 (log1p.f32 u1))))
(/.f32 (neg.f32 (pow.f32 (log1p.f32 u1) 2)) (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (pow.f32 (log1p.f32 u1) 1/4) (pow.f32 (log1p.f32 u1) 1/4))))
(/.f32 (/.f32 (neg.f32 (pow.f32 (log1p.f32 u1) 2)) (sqrt.f32 (log1p.f32 u1))) (pow.f32 (log1p.f32 u1) 1/2))
(/.f32 (/.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 2)) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (cbrt.f32 (log1p.f32 u1)))
(neg.f32 (log1p.f32 u1))
(/.f32 (/.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 2)) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (neg.f32 (cbrt.f32 (log1p.f32 u1))))
(log1p.f32 u1)
(/.f32 (/.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 2)) (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))
(neg.f32 (log1p.f32 u1))
(/.f32 (/.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 2)) (cbrt.f32 (log1p.f32 u1))) (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1))))
(/.f32 (neg.f32 (pow.f32 (log1p.f32 u1) 2)) (*.f32 (cbrt.f32 (log1p.f32 u1)) (*.f32 (sqrt.f32 (log1p.f32 u1)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))))
(/.f32 (/.f32 (neg.f32 (pow.f32 (log1p.f32 u1) 2)) (sqrt.f32 (log1p.f32 u1))) (*.f32 (cbrt.f32 (log1p.f32 u1)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))
(/.f32 (/.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 2)) (pow.f32 (log1p.f32 u1) 2)) (/.f32 1 (log1p.f32 u1)))
(neg.f32 (log1p.f32 u1))
(/.f32 (/.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 2)) -1) (log1p.f32 u1))
(log1p.f32 u1)
(/.f32 (/.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 2)) (pow.f32 (log1p.f32 u1) 3)) (/.f32 1 (pow.f32 (log1p.f32 u1) 2)))
(neg.f32 (log1p.f32 u1))
(/.f32 (/.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 2)) (*.f32 (sqrt.f32 (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) 1/4))) (pow.f32 (log1p.f32 u1) 1/4))
(/.f32 (neg.f32 (pow.f32 (log1p.f32 u1) 2)) (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (pow.f32 (log1p.f32 u1) 1/4) (pow.f32 (log1p.f32 u1) 1/4))))
(/.f32 (/.f32 (neg.f32 (pow.f32 (log1p.f32 u1) 2)) (sqrt.f32 (log1p.f32 u1))) (pow.f32 (log1p.f32 u1) 1/2))
(/.f32 (/.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 2)) (*.f32 (sqrt.f32 (log1p.f32 u1)) (cbrt.f32 (log1p.f32 u1)))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))
(/.f32 (neg.f32 (pow.f32 (log1p.f32 u1) 2)) (*.f32 (cbrt.f32 (log1p.f32 u1)) (*.f32 (sqrt.f32 (log1p.f32 u1)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))))
(/.f32 (/.f32 (neg.f32 (pow.f32 (log1p.f32 u1) 2)) (sqrt.f32 (log1p.f32 u1))) (*.f32 (cbrt.f32 (log1p.f32 u1)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))
(/.f32 (/.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 2)) (*.f32 -1 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))) (cbrt.f32 (log1p.f32 u1)))
(log1p.f32 u1)
(/.f32 (/.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 2)) (neg.f32 (sqrt.f32 (log1p.f32 u1)))) (sqrt.f32 (log1p.f32 u1)))
(log1p.f32 u1)
(/.f32 (/.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 2)) (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))) (cbrt.f32 (log1p.f32 u1)))
(log1p.f32 u1)
(/.f32 (/.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 2)) (+.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (log1p.f32 (*.f32 u1 u1))))) (-.f32 (sqrt.f32 (log1p.f32 (*.f32 u1 u1))) (sqrt.f32 (log1p.f32 u1))))
(/.f32 (neg.f32 (pow.f32 (log1p.f32 u1) 2)) (*.f32 (+.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (log1p.f32 (*.f32 u1 u1)))) (-.f32 (sqrt.f32 (log1p.f32 (*.f32 u1 u1))) (sqrt.f32 (log1p.f32 u1)))))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) (pow.f32 (log1p.f32 u1) 1/4)) (*.f32 (pow.f32 (log1p.f32 u1) 1/4) (sqrt.f32 (log1p.f32 u1))))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) (pow.f32 (log1p.f32 u1) 1/4)) (*.f32 (sqrt.f32 (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) 1/4)))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) (sqrt.f32 (log1p.f32 u1))) (pow.f32 (log1p.f32 u1) 1/2))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))
(log1p.f32 u1)
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) (cbrt.f32 (log1p.f32 u1))) (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1))))
(/.f32 (/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (sqrt.f32 (log1p.f32 u1)))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) (cbrt.f32 (log1p.f32 u1))) (*.f32 (sqrt.f32 (log1p.f32 u1)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) (pow.f32 (log1p.f32 u1) 2)) (/.f32 1 (log1p.f32 u1)))
(log1p.f32 u1)
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) -1) (log1p.f32 u1))
(neg.f32 (log1p.f32 u1))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) (*.f32 (sqrt.f32 (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) 1/4))) (pow.f32 (log1p.f32 u1) 1/4))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) (pow.f32 (log1p.f32 u1) 1/4)) (*.f32 (sqrt.f32 (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) 1/4)))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) (sqrt.f32 (log1p.f32 u1))) (pow.f32 (log1p.f32 u1) 1/2))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) (*.f32 (sqrt.f32 (log1p.f32 u1)) (cbrt.f32 (log1p.f32 u1)))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))
(/.f32 (/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (sqrt.f32 (log1p.f32 u1)))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) (cbrt.f32 (log1p.f32 u1))) (*.f32 (sqrt.f32 (log1p.f32 u1)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) (*.f32 -1 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))) (cbrt.f32 (log1p.f32 u1)))
(neg.f32 (log1p.f32 u1))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) (neg.f32 (sqrt.f32 (log1p.f32 u1)))) (sqrt.f32 (log1p.f32 u1)))
(neg.f32 (log1p.f32 u1))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))) (cbrt.f32 (log1p.f32 u1)))
(neg.f32 (log1p.f32 u1))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) (+.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (log1p.f32 (*.f32 u1 u1))))) (-.f32 (sqrt.f32 (log1p.f32 (*.f32 u1 u1))) (sqrt.f32 (log1p.f32 u1))))
(/.f32 (pow.f32 (log1p.f32 u1) 2) (*.f32 (+.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (log1p.f32 (*.f32 u1 u1)))) (-.f32 (sqrt.f32 (log1p.f32 (*.f32 u1 u1))) (sqrt.f32 (log1p.f32 u1)))))
(pow.f32 (log1p.f32 u1) 1)
(log1p.f32 u1)
(pow.f32 (sqrt.f32 (log1p.f32 u1)) 2)
(log1p.f32 u1)
(pow.f32 (cbrt.f32 (log1p.f32 u1)) 3)
(log1p.f32 u1)
(pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/3)
(log1p.f32 u1)
(pow.f32 (pow.f32 (log1p.f32 u1) 2) 1/2)
(sqrt.f32 (pow.f32 (log1p.f32 u1) 2))
(neg.f32 (log1p.f32 u1))
(sqrt.f32 (pow.f32 (log1p.f32 u1) 2))
(log.f32 (+.f32 u1 1))
(log1p.f32 u1)
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3))
(log1p.f32 u1)
(expm1.f32 (log1p.f32 (log1p.f32 u1)))
(log1p.f32 u1)
(exp.f32 (log.f32 (log1p.f32 u1)))
(log1p.f32 u1)
(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1))
(log1p.f32 u1)
(log1p.f32 u1)
(fma.f32 1 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1))
(+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))
(fma.f32 (sqrt.f32 (log1p.f32 (*.f32 u1 u1))) (sqrt.f32 (log1p.f32 (*.f32 u1 u1))) (log1p.f32 u1))
(fma.f32 (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 u1 u1))) 2) (cbrt.f32 (log1p.f32 (*.f32 u1 u1))) (log1p.f32 u1))

localize68.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(expm1.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
0.3b
(log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
0.3b
(*.f32 (PI.f32) u2)
0.4b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
Compiler

Compiled 64 to 30 computations (53.1% saved)

series28.0ms (0.2%)

Counts
3 → 44
Calls

12 calls:

TimeVariablePointExpression
14.0ms
u2
@inf
(log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
12.0ms
u2
@-inf
(log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
1.0ms
u2
@0
(log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
0.0ms
u1
@inf
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
0.0ms
u1
@0
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))

rewrite85.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1056×unswap-sqr
936×swap-sqr
394×distribute-rgt-in
348×distribute-lft-in
346×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01883
136075
2414575
Stop Event
node limit
Counts
3 → 85
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(expm1.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1)) (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (-.f32 (*.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1)) 1)) (+.f32 2 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (-.f32 (pow.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) 3) 1)) (+.f32 (*.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1)) (+.f32 2 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) 2) (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) (-.f32 u2 u2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 (*.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1)) 1) (sqrt.f32 (log1p.f32 u1))) (+.f32 2 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 (pow.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) 3) 1) (sqrt.f32 (log1p.f32 u1))) (+.f32 (*.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1)) (+.f32 2 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3) (pow.f32 (log1p.f32 u1) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (sqrt.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (pow.f32 (cbrt.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2) (cbrt.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))) (cbrt.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))) (*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))) (cbrt.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))) (cbrt.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))) (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))) (cbrt.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))) (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2))) (*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))) (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))) (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2))) (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))) (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (sqrt.f32 (cbrt.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))) (*.f32 (cbrt.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (sqrt.f32 (cbrt.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2)) (cbrt.f32 (sqrt.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))) (*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2)) (cbrt.f32 (sqrt.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 1 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 1 (-.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -1 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 2 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2) (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (sin.f32 (*.f32 (PI.f32) u2))) (cos.f32 (*.f32 (PI.f32) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (*.f32 (sqrt.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (*.f32 (cbrt.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2))) (*.f32 (sqrt.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2))) (*.f32 (cbrt.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (sqrt.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))) (*.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (sqrt.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2)) (cbrt.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))) (*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2)) (cbrt.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1)) 1) (+.f32 2 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (pow.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) 3) 1) (+.f32 (*.f32 (+.f32 (sin.f32 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u2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))))

simplify132.0ms (0.9%)

Algorithm
egg-herbie
Rules
1120×associate-/r*
816×associate-*r*
792×associate-*l*
764×associate-*r/
742×associate-*l/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03397181
19566595
245806407
Stop Event
node limit
Counts
129 → 192
Calls
Call 1
Inputs
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (-.f32 1/3 (*.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 -1 u1))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(+.f32 (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (*.f32 -4/3 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1))))))
(+.f32 (*.f32 4/15 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (*.f32 -4/3 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))))
(+.f32 (*.f32 4/15 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (*.f32 -4/3 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (*.f32 -8/315 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (sqrt.f32 (log.f32 (-.f32 1 u1))))))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 2 (*.f32 u2 (PI.f32)))
(+.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (*.f32 -2 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(+.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (+.f32 (*.f32 -2 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (*.f32 1/6 (*.f32 (pow.f32 u2 3) (+.f32 (*.f32 -8 (pow.f32 (PI.f32) 3)) (*.f32 16 (pow.f32 (PI.f32) 3)))))))
(+.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (+.f32 (*.f32 -2 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (+.f32 (*.f32 1/24 (*.f32 (pow.f32 u2 4) (+.f32 (*.f32 -96 (pow.f32 (PI.f32) 4)) (*.f32 64 (pow.f32 (PI.f32) 4))))) (*.f32 1/6 (*.f32 (pow.f32 u2 3) (+.f32 (*.f32 -8 (pow.f32 (PI.f32) 3)) (*.f32 16 (pow.f32 (PI.f32) 3))))))))
(log.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 1))
(log.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 1))
(log.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 1))
(log.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 1))
(log.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 1))
(log.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 1))
(log.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 1))
(log.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 1))
(*.f32 2 (*.f32 u2 (PI.f32)))
(+.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (*.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))
(+.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (+.f32 (*.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (*.f32 4/15 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)))))
(+.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (+.f32 (*.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (+.f32 (*.f32 -8/315 (*.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (*.f32 4/15 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(+.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1)) (sqrt.f32 (log1p.f32 u1)))
(+.f32 (*.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))) 1)
(/.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (-.f32 (*.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1)) 1)) (+.f32 2 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(/.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (-.f32 (pow.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) 3) 1)) (+.f32 (*.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1)) (+.f32 2 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(/.f32 (*.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) 2) (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) (-.f32 u2 u2))))) 2)
(/.f32 (*.f32 (-.f32 (*.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1)) 1) (sqrt.f32 (log1p.f32 u1))) (+.f32 2 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(/.f32 (*.f32 (-.f32 (pow.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) 3) 1) (sqrt.f32 (log1p.f32 u1))) (+.f32 (*.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1)) (+.f32 2 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 1)
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2)
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 3)
(pow.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3) 1/3)
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2)))
(log.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (sqrt.f32 (log1p.f32 u1))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))
(cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)))
(cbrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 1))
(log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(-.f32 (exp.f32 (log1p.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))) 1)
(*.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 1)
(*.f32 1 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(*.f32 (sqrt.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (sqrt.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(*.f32 (cbrt.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (pow.f32 (cbrt.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2) (cbrt.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(*.f32 (*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))) (cbrt.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))) (*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))) (cbrt.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))
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(*.f32 (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))) (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2))) (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))) (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2))))
(*.f32 (*.f32 (cbrt.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (sqrt.f32 (cbrt.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))) (*.f32 (cbrt.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (sqrt.f32 (cbrt.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))))
(*.f32 (*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2)) (cbrt.f32 (sqrt.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))) (*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2)) (cbrt.f32 (sqrt.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))))
(pow.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 1)
(pow.f32 (sqrt.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2)
(pow.f32 (cbrt.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 3)
(pow.f32 (pow.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3) 1/3)
(sqrt.f32 (pow.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2))
(log.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1))
(cbrt.f32 (pow.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3))
(expm1.f32 (log1p.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(exp.f32 (log.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(exp.f32 (*.f32 (log.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 1))
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(+.f32 1 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1))
(+.f32 1 (-.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1))
(+.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) -1)
(+.f32 -1 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1))
(-.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) 1)
(-.f32 (+.f32 2 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2)
(*.f32 2 (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1)
(*.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(*.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(*.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2))
(*.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2) (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))) 2)
(*.f32 (*.f32 2 (sin.f32 (*.f32 (PI.f32) u2))) (cos.f32 (*.f32 (PI.f32) u2)))
(*.f32 (*.f32 (sqrt.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (*.f32 (sqrt.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(*.f32 (*.f32 (cbrt.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (*.f32 (cbrt.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(*.f32 (*.f32 (sqrt.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2))) (*.f32 (sqrt.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2))))
(*.f32 (*.f32 (cbrt.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2))) (*.f32 (cbrt.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2))))
(*.f32 (*.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (sqrt.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))) (*.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (sqrt.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))
(*.f32 (*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2)) (cbrt.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))) (*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2)) (cbrt.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))
(/.f32 (-.f32 (*.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1)) 1) (+.f32 2 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(/.f32 (-.f32 (pow.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) 3) 1) (+.f32 (*.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1)) (+.f32 2 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(/.f32 (*.f32 2 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) (-.f32 u2 u2))))) 2)
(/.f32 (*.f32 1 (-.f32 (*.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1)) 1)) (+.f32 2 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(/.f32 (*.f32 1 (-.f32 (pow.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) 3) 1)) (+.f32 (*.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1)) (+.f32 2 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(/.f32 (*.f32 (-.f32 (*.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1)) 1) 1) (+.f32 2 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(/.f32 (*.f32 (-.f32 (pow.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) 3) 1) 1) (+.f32 (*.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1)) (+.f32 2 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(/.f32 (*.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) (-.f32 u2 u2)))) 2) 2)
(pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1)
(pow.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2)
(pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3)
(pow.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3) 1/3)
(sqrt.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2))
(log.f32 (exp.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(log.f32 (+.f32 1 (expm1.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(cbrt.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3))
(sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))
(exp.f32 (log.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(exp.f32 (*.f32 (log.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 1))
(log1p.f32 (expm1.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
Outputs
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(*.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))
(*.f32 (sqrt.f32 -1) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(fma.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (*.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))
(fma.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))) (*.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 u1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))))
(fma.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))) (*.f32 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))
(fma.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (*.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2))) (*.f32 u1 u1))) (*.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))
(+.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))) (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 u1 (sqrt.f32 -1)))) (*.f32 -1/2 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (/.f32 (*.f32 u1 u1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2))))))))
(+.f32 (*.f32 (sqrt.f32 -1) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))) (*.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (*.f32 (/.f32 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) u1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2)))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))
(fma.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (*.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2))) (*.f32 u1 u1))) (fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (*.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2)) (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))) (pow.f32 u1 3))) (*.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))))
(+.f32 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (*.f32 -1/2 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (/.f32 (*.f32 u1 u1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2))))) (*.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 u1 3)) (*.f32 (sqrt.f32 -1) (fma.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2)) (+.f32 (log.f32 -1) (log.f32 u1))) 1/3)))))) (fma.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))) (*.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 u1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))))))
(+.f32 (*.f32 (sqrt.f32 -1) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))) (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (*.f32 -1/2 (+.f32 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (*.f32 (/.f32 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) u1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2))))) (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (pow.f32 u1 3)) (fma.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2)) (+.f32 (log.f32 -1) (log.f32 u1))) 1/3))))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1))))
(*.f32 (*.f32 (pow.f32 (sqrt.f32 -1) 2) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (/.f32 -1 u1))))
(*.f32 -1 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(fma.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (*.f32 (*.f32 (pow.f32 (sqrt.f32 -1) 2) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(fma.f32 (*.f32 -1 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) -1/2)))
(fma.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (*.f32 -1 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 -1 u1))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))))))
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(exp.f32 (log.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(exp.f32 (*.f32 (log.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 1))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(log1p.f32 (expm1.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))

localize356.0ms (2.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(*.f32 (PI.f32) u2)
0.4b
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (pow.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)))
0.7b
(pow.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)
14.0b
(log.f32 (-.f32 1 u1))
Compiler

Compiled 74 to 50 computations (32.4% saved)

series16.0ms (0.1%)

Counts
2 → 9
Calls

9 calls:

TimeVariablePointExpression
6.0ms
u2
@-inf
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (pow.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)))
3.0ms
u1
@0
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (pow.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)))
1.0ms
u2
@0
(pow.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)
1.0ms
u1
@inf
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (pow.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)))
1.0ms
u2
@-inf
(pow.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)

rewrite80.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
570×distribute-rgt-in
516×associate-*r/
514×distribute-lft-in
408×associate-*l/
382×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02058
140552
2461452
Stop Event
node limit
Counts
2 → 52
Calls
Call 1
Inputs
(pow.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (pow.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (PI.f32) u2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (PI.f32) (*.f32 u2 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 u2 (*.f32 2 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) u2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (pow.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (*.f32 (PI.f32) u2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (*.f32 2 (*.f32 (PI.f32) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) (*.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (*.f32 2 (*.f32 (PI.f32) u2)) 1/6) (*.f32 (pow.f32 (*.f32 2 (*.f32 (PI.f32) u2)) 1/6) (pow.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2) (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2) (*.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2) (*.f32 (cbrt.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (pow.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 2) (*.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) (pow.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (PI.f32)) u2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 u2) (PI.f32))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (sqrt.f32 (*.f32 (PI.f32) u2))) (sqrt.f32 (*.f32 (PI.f32) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2)) (cbrt.f32 (*.f32 (PI.f32) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2) 1) (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2) (pow.f32 (*.f32 2 (*.f32 (PI.f32) u2)) 1/6)) (pow.f32 (*.f32 2 (*.f32 (PI.f32) u2)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2) (pow.f32 (cbrt.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2)) (cbrt.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2) (cbrt.f32 2)) (cbrt.f32 (*.f32 (PI.f32) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (*.f32 2 (PI.f32)) 1) u2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (*.f32 2 (PI.f32)) (sqrt.f32 u2)) (sqrt.f32 u2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (*.f32 2 (PI.f32)) (pow.f32 (cbrt.f32 u2) 2)) (cbrt.f32 u2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (*.f32 2 (*.f32 (PI.f32) u2)) 1/6) 3) (pow.f32 (pow.f32 (*.f32 2 (*.f32 (PI.f32) u2)) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2) 3) (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 2) 3) (*.f32 (PI.f32) u2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) u2) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 2) (*.f32 (PI.f32) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 2 (*.f32 (PI.f32) u2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (log1p.f32 (neg.f32 u1)) (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 3/2) (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3) (pow.f32 (log1p.f32 (neg.f32 u1)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))))))

simplify160.0ms (1.1%)

Algorithm
egg-herbie
Rules
1394×associate-/l/
880×*-commutative
792×fma-def
602×unswap-sqr
562×distribute-lft-out
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02142981
15672703
221002505
363562451
Stop Event
node limit
Counts
61 → 101
Calls
Call 1
Inputs
(*.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 (pow.f32 1 1/3) (*.f32 u2 (PI.f32)))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(+.f32 (*.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 (pow.f32 1 1/3) (*.f32 u2 (PI.f32)))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))) (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 (pow.f32 1 1/3) (*.f32 u2 (PI.f32)))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))
(+.f32 (*.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 (pow.f32 1 1/3) (*.f32 u2 (PI.f32)))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 (pow.f32 1 1/3) (*.f32 u2 (PI.f32)))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (sin.f32 (*.f32 2 (*.f32 (pow.f32 1 1/3) (*.f32 u2 (PI.f32))))))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))))
(+.f32 (*.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 (pow.f32 1 1/3) (*.f32 u2 (PI.f32)))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 (pow.f32 1 1/3) (*.f32 u2 (PI.f32)))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (sin.f32 (*.f32 2 (*.f32 (pow.f32 1 1/3) (*.f32 u2 (PI.f32))))))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 (sin.f32 (*.f32 2 (*.f32 (pow.f32 1 1/3) (*.f32 u2 (PI.f32))))) (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))))
(*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (sin.f32 (*.f32 2 (*.f32 (pow.f32 1 1/3) (*.f32 u2 (PI.f32)))))))
(+.f32 (*.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (sin.f32 (*.f32 2 (*.f32 (pow.f32 1 1/3) (*.f32 u2 (PI.f32))))) u1))) (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (sin.f32 (*.f32 2 (*.f32 (pow.f32 1 1/3) (*.f32 u2 (PI.f32))))))))
(+.f32 (*.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (sin.f32 (*.f32 2 (*.f32 (pow.f32 1 1/3) (*.f32 u2 (PI.f32))))) u1))) (+.f32 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (sin.f32 (*.f32 2 (*.f32 (pow.f32 1 1/3) (*.f32 u2 (PI.f32))))))) (*.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (*.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (sin.f32 (*.f32 2 (*.f32 (pow.f32 1 1/3) (*.f32 u2 (PI.f32)))))) (pow.f32 u1 2))))))
(+.f32 (*.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (sin.f32 (*.f32 2 (*.f32 (pow.f32 1 1/3) (*.f32 u2 (PI.f32))))) u1))) (+.f32 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (sin.f32 (*.f32 2 (*.f32 (pow.f32 1 1/3) (*.f32 u2 (PI.f32))))))) (+.f32 (*.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (*.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (sin.f32 (*.f32 2 (*.f32 (pow.f32 1 1/3) (*.f32 u2 (PI.f32)))))) (pow.f32 u1 2)))) (*.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (*.f32 (-.f32 1/3 (*.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 -1 u1)))))) (sin.f32 (*.f32 2 (*.f32 (pow.f32 1 1/3) (*.f32 u2 (PI.f32)))))) (pow.f32 u1 3)))))))
0
(-.f32 (exp.f32 (log1p.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 1)
(*.f32 2 (*.f32 (PI.f32) u2))
(*.f32 (PI.f32) (*.f32 u2 2))
(*.f32 u2 (*.f32 2 (PI.f32)))
(*.f32 (*.f32 (PI.f32) u2) 2)
(*.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (pow.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2))
(*.f32 (*.f32 2 (*.f32 (PI.f32) u2)) 1)
(*.f32 1 (*.f32 2 (*.f32 (PI.f32) u2)))
(*.f32 (sqrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(*.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) (*.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2))
(*.f32 (pow.f32 (*.f32 2 (*.f32 (PI.f32) u2)) 1/6) (*.f32 (pow.f32 (*.f32 2 (*.f32 (PI.f32) u2)) 1/6) (pow.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2)))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2) (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2) (*.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2))
(*.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2) (*.f32 (cbrt.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (pow.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2)))
(*.f32 (cbrt.f32 2) (*.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) (pow.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2)))
(*.f32 (*.f32 2 (PI.f32)) u2)
(*.f32 (*.f32 2 u2) (PI.f32))
(*.f32 (*.f32 2 (sqrt.f32 (*.f32 (PI.f32) u2))) (sqrt.f32 (*.f32 (PI.f32) u2)))
(*.f32 (*.f32 2 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2)) (cbrt.f32 (*.f32 (PI.f32) u2)))
(*.f32 (*.f32 (pow.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2) 1) (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(*.f32 (*.f32 (pow.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2) (pow.f32 (*.f32 2 (*.f32 (PI.f32) u2)) 1/6)) (pow.f32 (*.f32 2 (*.f32 (PI.f32) u2)) 1/6))
(*.f32 (*.f32 (pow.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2) (pow.f32 (cbrt.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2)) (cbrt.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(*.f32 (*.f32 (pow.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2) (cbrt.f32 2)) (cbrt.f32 (*.f32 (PI.f32) u2)))
(*.f32 (*.f32 (*.f32 2 (PI.f32)) 1) u2)
(*.f32 (*.f32 (*.f32 2 (PI.f32)) (sqrt.f32 u2)) (sqrt.f32 u2))
(*.f32 (*.f32 (*.f32 2 (PI.f32)) (pow.f32 (cbrt.f32 u2) 2)) (cbrt.f32 u2))
(*.f32 (pow.f32 (pow.f32 (*.f32 2 (*.f32 (PI.f32) u2)) 1/6) 3) (pow.f32 (pow.f32 (*.f32 2 (*.f32 (PI.f32) u2)) 1/6) 3))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2) 3) (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(*.f32 (pow.f32 (cbrt.f32 2) 3) (*.f32 (PI.f32) u2))
(sqrt.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) u2) 2) 4))
(log.f32 (pow.f32 (exp.f32 2) (*.f32 (PI.f32) u2)))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(cbrt.f32 (pow.f32 (*.f32 2 (*.f32 (PI.f32) u2)) 3))
(expm1.f32 (log1p.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(exp.f32 (log.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(exp.f32 (*.f32 (log.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1))
(log1p.f32 (expm1.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))) 1)
(pow.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 1)
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2)
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 3)
(pow.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3) 1/3)
(sqrt.f32 (*.f32 (log1p.f32 (neg.f32 u1)) (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2)))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))
(cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 3/2) (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)))
(cbrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3) (pow.f32 (log1p.f32 (neg.f32 u1)) 3/2)))
(expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 1))
(log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
Outputs
(*.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 (pow.f32 1 1/3) (*.f32 u2 (PI.f32)))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(*.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))
(*.f32 (sqrt.f32 -1) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))
(*.f32 (sqrt.f32 -1) (*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))
(+.f32 (*.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 (pow.f32 1 1/3) (*.f32 u2 (PI.f32)))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))) (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 (pow.f32 1 1/3) (*.f32 u2 (PI.f32)))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))
(fma.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))) (*.f32 -1/2 (*.f32 (/.f32 (sqrt.f32 -1) (/.f32 u1 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))))
(fma.f32 (sqrt.f32 -1) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (*.f32 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))))
(fma.f32 (sqrt.f32 -1) (*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) u1) (sqrt.f32 -1)) (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))))
(+.f32 (*.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 (pow.f32 1 1/3) (*.f32 u2 (PI.f32)))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 (pow.f32 1 1/3) (*.f32 u2 (PI.f32)))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (sin.f32 (*.f32 2 (*.f32 (pow.f32 1 1/3) (*.f32 u2 (PI.f32))))))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))))
(fma.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))) (*.f32 -1/2 (+.f32 (*.f32 (/.f32 (sqrt.f32 -1) (/.f32 u1 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (sqrt.f32 -1) (/.f32 (*.f32 u1 u1) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2)))))))))
(fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (/.f32 (*.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2))) (*.f32 u1 u1)))) (*.f32 (sqrt.f32 -1) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))))
(fma.f32 (sqrt.f32 -1) (*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (*.f32 -1/2 (*.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (/.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (/.f32 u1 (fma.f32 1/4 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))) 1/2))))))))
(fma.f32 (sqrt.f32 -1) (*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) u1) (sqrt.f32 -1)) (+.f32 (/.f32 -1/2 (/.f32 u1 (fma.f32 1/4 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))) 1/2))) -1/2))))
(+.f32 (*.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 (pow.f32 1 1/3) (*.f32 u2 (PI.f32)))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 (pow.f32 1 1/3) (*.f32 u2 (PI.f32)))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (sin.f32 (*.f32 2 (*.f32 (pow.f32 1 1/3) (*.f32 u2 (PI.f32))))))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 (sin.f32 (*.f32 2 (*.f32 (pow.f32 1 1/3) (*.f32 u2 (PI.f32))))) (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))))
(fma.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))) (fma.f32 -1/2 (*.f32 (/.f32 (sqrt.f32 -1) (/.f32 u1 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (*.f32 -1/2 (+.f32 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (sqrt.f32 -1) (/.f32 (*.f32 u1 u1) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2)))))) (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (sqrt.f32 -1) (/.f32 (pow.f32 u1 3) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2)) (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))))))))))
(fma.f32 (sqrt.f32 -1) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (*.f32 -1/2 (+.f32 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (/.f32 (*.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2))) (*.f32 u1 u1)))) (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (fma.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2)) (+.f32 (log.f32 -1) (log.f32 u1))) 1/3))) (/.f32 (pow.f32 u1 3) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))))))
(fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (*.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (/.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (/.f32 u1 (fma.f32 1/4 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))) 1/2))))) (*.f32 (/.f32 (sqrt.f32 -1) (/.f32 (pow.f32 u1 3) (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))) (fma.f32 1/2 (/.f32 (fma.f32 1/4 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))) 1/2) (+.f32 (log.f32 -1) (log.f32 u1))) 1/3)))) (*.f32 (sqrt.f32 -1) (*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))))
(fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (*.f32 (/.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) u1) (sqrt.f32 -1)) (*.f32 (/.f32 (sqrt.f32 -1) (/.f32 (*.f32 u1 u1) (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))) (+.f32 (fma.f32 1/4 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))) 1/2) (/.f32 (fma.f32 1/2 (/.f32 (fma.f32 1/4 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))) 1/2) (+.f32 (log.f32 -1) (log.f32 u1))) 1/3) u1))))) (*.f32 (sqrt.f32 -1) (*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))))
(*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (sin.f32 (*.f32 2 (*.f32 (pow.f32 1 1/3) (*.f32 u2 (PI.f32)))))))
(*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)))
(*.f32 -1 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (neg.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(+.f32 (*.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (sin.f32 (*.f32 2 (*.f32 (pow.f32 1 1/3) (*.f32 u2 (PI.f32))))) u1))) (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (sin.f32 (*.f32 2 (*.f32 (pow.f32 1 1/3) (*.f32 u2 (PI.f32))))))))
(fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1)) (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2))))
(fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1)) (*.f32 -1 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 -1 u1))))))
(fma.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (neg.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (*.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) u1))))
(+.f32 (*.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (sin.f32 (*.f32 2 (*.f32 (pow.f32 1 1/3) (*.f32 u2 (PI.f32))))) u1))) (+.f32 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (sin.f32 (*.f32 2 (*.f32 (pow.f32 1 1/3) (*.f32 u2 (PI.f32))))))) (*.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (*.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (sin.f32 (*.f32 2 (*.f32 (pow.f32 1 1/3) (*.f32 u2 (PI.f32)))))) (pow.f32 u1 2))))))
(fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1)) (fma.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (*.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (+.f32 1/2 (pow.f32 (*.f32 (*.f32 1/2 (/.f32 1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) 2)) (/.f32 (*.f32 u1 u1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))))))))
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(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 3/2) (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 3/2) (pow.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 3)))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 3/2) (pow.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 3)))
(cbrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3) (pow.f32 (log1p.f32 (neg.f32 u1)) 3/2)))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 3/2) (pow.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 3)))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 3/2) (pow.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 3)))
(expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 1))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))

eval743.0ms (4.9%)

Compiler

Compiled 37431 to 24221 computations (35.3% saved)

prune492.0ms (3.3%)

Pruning

59 alts after pruning (54 fresh and 5 done)

PrunedKeptTotal
New1227371264
Fresh151732
Picked011
Done246
Total1244591303
Error
0.0b
Counts
1303 → 59
Alt Table
Click to see full alt table
StatusErrorProgram
3.8b
(fma.f32 -4/3 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (*.f32 u1 u1))))) (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (*.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (*.f32 u1 u1)))))))
11.7b
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))) 2)
9.2b
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2)
8.3b
(/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (log1p.f32 u1)) (sqrt.f32 (log1p.f32 u1)))
8.3b
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
11.6b
(*.f32 (pow.f32 (log1p.f32 u1) 1/2) (*.f32 2 (*.f32 u2 (PI.f32))))
8.4b
(*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
6.2b
(*.f32 (*.f32 (PI.f32) (*.f32 2 u2)) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (neg.f32 (pow.f32 u1 3))))))
6.2b
(*.f32 (*.f32 u2 (PI.f32)) (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))) 2))
0.9b
(*.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (sin.f32 (pow.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)))
0.7b
(*.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
1.0b
(*.f32 (sqrt.f32 (neg.f32 (/.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0) (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 2)) (cbrt.f32 (log1p.f32 (neg.f32 u1)))))) (sin.f32 (pow.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)))
8.3b
(*.f32 (sqrt.f32 (neg.f32 (/.f32 -1 (/.f32 1 (log1p.f32 u1))))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
2.3b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3)))) u1))) (sin.f32 (pow.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)))
2.9b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1))) (sin.f32 (pow.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)))
2.6b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
4.2b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 -1/2 u1) u1) u1))) (sin.f32 (pow.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)))
3.9b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 -1/2 u1) u1) u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
1.3b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 u1 3))) (pow.f32 (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) 3) 1/3)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
0.6b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 u1 3))) (pow.f32 (cbrt.f32 (log1p.f32 (fma.f32 u1 u1 u1))) 3)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
2.5b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 u1 3))) (+.f32 (*.f32 1/2 (pow.f32 u1 2)) (+.f32 (*.f32 -2/3 (pow.f32 u1 3)) u1))))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
1.1b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 u1 3))) (exp.f32 (log.f32 (log1p.f32 (fma.f32 u1 u1 u1))))))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
3.1b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 1 (*.f32 u1 u1))) (log1p.f32 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
13.9b
(*.f32 (sqrt.f32 (neg.f32 (*.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
7.8b
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (sin.f32 (pow.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)))
7.6b
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
2.8b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3) 1/3))
1.7b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2))
13.1b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (*.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1)) 1) (+.f32 2 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
13.0b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) 1))
12.1b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1 (-.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1)))
6.3b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (pow.f32 (sqrt.f32 (*.f32 u2 (PI.f32))) 2)))
6.5b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 3)))
6.2b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (*.f32 u2 (PI.f32))))
7.1b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (exp.f32 (log.f32 (*.f32 u2 (PI.f32))))))
0.9b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (pow.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)))
0.7b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2))))
0.5b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
0.5b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))
1.6b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (exp.f32 (log.f32 (*.f32 (PI.f32) u2))))))
0.5b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
13.0b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
1.7b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (pow.f32 (sqrt.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2)))
6.2b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (*.f32 (PI.f32) (+.f32 (*.f32 2 u2) (*.f32 (*.f32 -2 (*.f32 u2 u2)) (PI.f32))))))
0.6b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
13.3b
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (pow.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)))
13.3b
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (*.f32 (*.f32 (*.f32 2 (PI.f32)) (sqrt.f32 u2)) (sqrt.f32 u2))))
13.3b
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
11.6b
(*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))
0.5b
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (neg.f32 (pow.f32 u1 3))))))
0.5b
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))))
30.5b
(*.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) (*.f32 2 (*.f32 u2 (PI.f32))))
11.6b
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (*.f32 2 (*.f32 u2 (PI.f32))))
11.7b
(*.f32 (PI.f32) (*.f32 (*.f32 2 u2) (sqrt.f32 (log1p.f32 u1))))
6.2b
(*.f32 2 (*.f32 (PI.f32) (*.f32 u2 (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (neg.f32 (pow.f32 u1 3))))))))
11.7b
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 2)))
9.1b
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2)))
12.0b
(exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))))
29.7b
0
Compiler

Compiled 2175 to 1805 computations (17% saved)

localize104.0ms (0.7%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))
0.3b
(log1p.f32 (fma.f32 u1 u1 u1))
0.3b
(*.f32 (PI.f32) (*.f32 2 u2))
0.4b
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (neg.f32 (pow.f32 u1 3))))))
Compiler

Compiled 85 to 48 computations (43.5% saved)

series3.0ms (0%)

Counts
3 → 44
Calls

12 calls:

TimeVariablePointExpression
1.0ms
u1
@inf
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (neg.f32 (pow.f32 u1 3))))))
0.0ms
u1
@-inf
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (neg.f32 (pow.f32 u1 3))))))
0.0ms
u2
@0
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (neg.f32 (pow.f32 u1 3))))))
0.0ms
u1
@0
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (neg.f32 (pow.f32 u1 3))))))
0.0ms
u2
@inf
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (neg.f32 (pow.f32 u1 3))))))

rewrite90.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
730×distribute-lft-in
660×associate-*r/
542×associate-*l/
434×add-sqr-sqrt
418×*-un-lft-identity
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02195
143491
2521591
Stop Event
node limit
Counts
3 → 54
Calls
Call 1
Inputs
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (neg.f32 (pow.f32 u1 3))))))
(*.f32 (PI.f32) (*.f32 2 u2))
(sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (pow.f32 u1 3))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) 2) (pow.f32 (log1p.f32 (pow.f32 u1 3)) 2)))) (sqrt.f32 (+.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (pow.f32 u1 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) 3) (pow.f32 (log1p.f32 (pow.f32 u1 3)) 3)))) (sqrt.f32 (+.f32 (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) 2) (*.f32 (log1p.f32 (pow.f32 u1 3)) (+.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (pow.f32 u1 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) 2) (pow.f32 (log1p.f32 (pow.f32 u1 3)) 2))) (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) (sqrt.f32 (+.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (pow.f32 u1 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) 3) (pow.f32 (log1p.f32 (pow.f32 u1 3)) 3))) (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) (sqrt.f32 (+.f32 (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) 2) (*.f32 (log1p.f32 (pow.f32 u1 3)) (+.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (pow.f32 u1 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (cbrt.f32 (-.f32 (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) 2) (pow.f32 (log1p.f32 (pow.f32 u1 3)) 2))) (*.f32 (cbrt.f32 (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (pow.f32 u1 3))))) (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))))) (cbrt.f32 (+.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (pow.f32 u1 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (cbrt.f32 (-.f32 (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) 3) (pow.f32 (log1p.f32 (pow.f32 u1 3)) 3))) (*.f32 (cbrt.f32 (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (pow.f32 u1 3))))) (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))))) (cbrt.f32 (+.f32 (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) 2) (*.f32 (log1p.f32 (pow.f32 u1 3)) (+.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (pow.f32 u1 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (pow.f32 u1 3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (pow.f32 u1 3)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (pow.f32 u1 3)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (pow.f32 u1 3))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (pow.f32 u1 3))) (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (pow.f32 u1 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (pow.f32 u1 3))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (pow.f32 u1 3))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 3) (pow.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (pow.f32 u1 3))) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (pow.f32 u1 3))) 3/2) (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (pow.f32 u1 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (pow.f32 u1 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (pow.f32 u1 3)))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (pow.f32 u1 3)))))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (pow.f32 (exp.f32 2) u2) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (PI.f32) (*.f32 2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 (*.f32 2 u2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (*.f32 2 u2) 3) (pow.f32 (PI.f32) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 2 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (PI.f32) (*.f32 2 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (PI.f32) (*.f32 2 u2))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) 2) (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))))))))

simplify88.0ms (0.6%)

Algorithm
egg-herbie
Rules
1734×associate-/l*
1242×distribute-lft-in
1078×associate-/r*
610×associate-*r/
586×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02576106
16775366
232835366
Stop Event
node limit
Counts
98 → 145
Calls
Call 1
Inputs
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 (log.f32 (+.f32 (pow.f32 u1 2) (+.f32 1 u1))) (log.f32 (-.f32 1 (pow.f32 u1 3)))))))
(+.f32 (*.f32 -4/3 (*.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (-.f32 (log.f32 (+.f32 (pow.f32 u1 2) (+.f32 1 u1))) (log.f32 (-.f32 1 (pow.f32 u1 3))))))) (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 (log.f32 (+.f32 (pow.f32 u1 2) (+.f32 1 u1))) (log.f32 (-.f32 1 (pow.f32 u1 3))))))))
(+.f32 (*.f32 -4/3 (*.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (-.f32 (log.f32 (+.f32 (pow.f32 u1 2) (+.f32 1 u1))) (log.f32 (-.f32 1 (pow.f32 u1 3))))))) (+.f32 (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 (log.f32 (+.f32 (pow.f32 u1 2) (+.f32 1 u1))) (log.f32 (-.f32 1 (pow.f32 u1 3))))))) (*.f32 4/15 (*.f32 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (sqrt.f32 (-.f32 (log.f32 (+.f32 (pow.f32 u1 2) (+.f32 1 u1))) (log.f32 (-.f32 1 (pow.f32 u1 3)))))))))
(+.f32 (*.f32 -4/3 (*.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (-.f32 (log.f32 (+.f32 (pow.f32 u1 2) (+.f32 1 u1))) (log.f32 (-.f32 1 (pow.f32 u1 3))))))) (+.f32 (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 (log.f32 (+.f32 (pow.f32 u1 2) (+.f32 1 u1))) (log.f32 (-.f32 1 (pow.f32 u1 3))))))) (+.f32 (*.f32 4/15 (*.f32 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (sqrt.f32 (-.f32 (log.f32 (+.f32 (pow.f32 u1 2) (+.f32 1 u1))) (log.f32 (-.f32 1 (pow.f32 u1 3))))))) (*.f32 -8/315 (*.f32 (*.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7)) (sqrt.f32 (-.f32 (log.f32 (+.f32 (pow.f32 u1 2) (+.f32 1 u1))) (log.f32 (-.f32 1 (pow.f32 u1 3))))))))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (+.f32 (pow.f32 u1 2) (+.f32 1 u1))) (log.f32 (-.f32 1 (pow.f32 u1 3))))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (+.f32 (pow.f32 u1 2) (+.f32 1 u1))) (log.f32 (-.f32 1 (pow.f32 u1 3))))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (+.f32 (pow.f32 u1 2) (+.f32 1 u1))) (log.f32 (-.f32 1 (pow.f32 u1 3))))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (+.f32 (pow.f32 u1 2) (+.f32 1 u1))) (log.f32 (-.f32 1 (pow.f32 u1 3))))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (+.f32 (pow.f32 u1 2) (+.f32 1 u1))) (log.f32 (-.f32 1 (pow.f32 u1 3))))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (+.f32 (pow.f32 u1 2) (+.f32 1 u1))) (log.f32 (-.f32 1 (pow.f32 u1 3))))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (+.f32 (pow.f32 u1 2) (+.f32 1 u1))) (log.f32 (-.f32 1 (pow.f32 u1 3))))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (+.f32 (pow.f32 u1 2) (+.f32 1 u1))) (log.f32 (-.f32 1 (pow.f32 u1 3))))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (*.f32 -2 (log.f32 (/.f32 1 u1))) (+.f32 (*.f32 -3 (log.f32 (/.f32 1 u1))) (log.f32 -1)))))
(+.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -2 (log.f32 (/.f32 1 u1))) (+.f32 (*.f32 -3 (log.f32 (/.f32 1 u1))) (log.f32 -1))))) (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1))) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (*.f32 -2 (log.f32 (/.f32 1 u1))) (+.f32 (*.f32 -3 (log.f32 (/.f32 1 u1))) (log.f32 -1))))))
(+.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -2 (log.f32 (/.f32 1 u1))) (+.f32 (*.f32 -3 (log.f32 (/.f32 1 u1))) (log.f32 -1))))) (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (-.f32 1/2 (pow.f32 (*.f32 1/2 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -2 (log.f32 (/.f32 1 u1))) (+.f32 (*.f32 -3 (log.f32 (/.f32 1 u1))) (log.f32 -1)))))) 2))) (pow.f32 u1 2)))) (+.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -2 (log.f32 (/.f32 1 u1))) (+.f32 (*.f32 -3 (log.f32 (/.f32 1 u1))) (log.f32 -1))))) (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1))) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (*.f32 -2 (log.f32 (/.f32 1 u1))) (+.f32 (*.f32 -3 (log.f32 (/.f32 1 u1))) (log.f32 -1)))))))
(+.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -2 (log.f32 (/.f32 1 u1))) (+.f32 (*.f32 -3 (log.f32 (/.f32 1 u1))) (log.f32 -1))))) (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (-.f32 1/3 (*.f32 1/2 (/.f32 (-.f32 1/2 (pow.f32 (*.f32 1/2 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -2 (log.f32 (/.f32 1 u1))) (+.f32 (*.f32 -3 (log.f32 (/.f32 1 u1))) (log.f32 -1)))))) 2)) (-.f32 (*.f32 -2 (log.f32 (/.f32 1 u1))) (+.f32 (*.f32 -3 (log.f32 (/.f32 1 u1))) (log.f32 -1))))))) (pow.f32 u1 3)))) (+.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -2 (log.f32 (/.f32 1 u1))) (+.f32 (*.f32 -3 (log.f32 (/.f32 1 u1))) (log.f32 -1))))) (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (-.f32 1/2 (pow.f32 (*.f32 1/2 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -2 (log.f32 (/.f32 1 u1))) (+.f32 (*.f32 -3 (log.f32 (/.f32 1 u1))) (log.f32 -1)))))) 2))) (pow.f32 u1 2)))) (+.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -2 (log.f32 (/.f32 1 u1))) (+.f32 (*.f32 -3 (log.f32 (/.f32 1 u1))) (log.f32 -1))))) (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1))) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (*.f32 -2 (log.f32 (/.f32 1 u1))) (+.f32 (*.f32 -3 (log.f32 (/.f32 1 u1))) (log.f32 -1))))))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (*.f32 -2 (log.f32 (/.f32 -1 u1))) (*.f32 -3 (log.f32 (/.f32 -1 u1))))))
(+.f32 (*.f32 1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -2 (log.f32 (/.f32 -1 u1))) (*.f32 -3 (log.f32 (/.f32 -1 u1)))))))) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (*.f32 -2 (log.f32 (/.f32 -1 u1))) (*.f32 -3 (log.f32 (/.f32 -1 u1)))))))
(+.f32 (*.f32 1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (-.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -2 (log.f32 (/.f32 -1 u1))) (*.f32 -3 (log.f32 (/.f32 -1 u1))))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -2 (log.f32 (/.f32 -1 u1))) (*.f32 -3 (log.f32 (/.f32 -1 u1)))))))) (+.f32 (*.f32 1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -2 (log.f32 (/.f32 -1 u1))) (*.f32 -3 (log.f32 (/.f32 -1 u1)))))))) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (*.f32 -2 (log.f32 (/.f32 -1 u1))) (*.f32 -3 (log.f32 (/.f32 -1 u1))))))))
(+.f32 (*.f32 1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (+.f32 1/3 (*.f32 -1/2 (/.f32 (-.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -2 (log.f32 (/.f32 -1 u1))) (*.f32 -3 (log.f32 (/.f32 -1 u1))))))) 2)) (-.f32 (*.f32 -2 (log.f32 (/.f32 -1 u1))) (*.f32 -3 (log.f32 (/.f32 -1 u1)))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -2 (log.f32 (/.f32 -1 u1))) (*.f32 -3 (log.f32 (/.f32 -1 u1)))))))) (+.f32 (*.f32 1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (-.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -2 (log.f32 (/.f32 -1 u1))) (*.f32 -3 (log.f32 (/.f32 -1 u1))))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -2 (log.f32 (/.f32 -1 u1))) (*.f32 -3 (log.f32 (/.f32 -1 u1)))))))) (+.f32 (*.f32 1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -2 (log.f32 (/.f32 -1 u1))) (*.f32 -3 (log.f32 (/.f32 -1 u1)))))))) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (*.f32 -2 (log.f32 (/.f32 -1 u1))) (*.f32 -3 (log.f32 (/.f32 -1 u1)))))))))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(+.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (*.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))
(+.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (+.f32 (*.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (*.f32 4/15 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)))))
(+.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (+.f32 (*.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (+.f32 (*.f32 -8/315 (*.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (*.f32 4/15 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (pow.f32 u1 3))))))) 1)
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) 2) (pow.f32 (log1p.f32 (pow.f32 u1 3)) 2)))) (sqrt.f32 (+.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (pow.f32 u1 3)))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) 3) (pow.f32 (log1p.f32 (pow.f32 u1 3)) 3)))) (sqrt.f32 (+.f32 (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) 2) (*.f32 (log1p.f32 (pow.f32 u1 3)) (+.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (pow.f32 u1 3)))))))
(/.f32 (*.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) 2) (pow.f32 (log1p.f32 (pow.f32 u1 3)) 2))) (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) (sqrt.f32 (+.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (pow.f32 u1 3)))))
(/.f32 (*.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) 3) (pow.f32 (log1p.f32 (pow.f32 u1 3)) 3))) (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) (sqrt.f32 (+.f32 (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) 2) (*.f32 (log1p.f32 (pow.f32 u1 3)) (+.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (pow.f32 u1 3)))))))
(/.f32 (*.f32 (cbrt.f32 (-.f32 (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) 2) (pow.f32 (log1p.f32 (pow.f32 u1 3)) 2))) (*.f32 (cbrt.f32 (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (pow.f32 u1 3))))) (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))))) (cbrt.f32 (+.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (pow.f32 u1 3)))))
(/.f32 (*.f32 (cbrt.f32 (-.f32 (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) 3) (pow.f32 (log1p.f32 (pow.f32 u1 3)) 3))) (*.f32 (cbrt.f32 (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (pow.f32 u1 3))))) (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))))) (cbrt.f32 (+.f32 (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) 2) (*.f32 (log1p.f32 (pow.f32 u1 3)) (+.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (pow.f32 u1 3)))))))
(pow.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (pow.f32 u1 3))))) 1)
(pow.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (pow.f32 u1 3)))))) 2)
(pow.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (pow.f32 u1 3)))))) 3)
(pow.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (pow.f32 u1 3))))) 3) 1/3)
(sqrt.f32 (*.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (pow.f32 u1 3))) (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 2)))
(log.f32 (exp.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (pow.f32 u1 3)))))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (pow.f32 u1 3))))))))
(cbrt.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (pow.f32 u1 3))))) 3))
(cbrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 3) (pow.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (pow.f32 u1 3))) 3/2)))
(cbrt.f32 (*.f32 (pow.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (pow.f32 u1 3))) 3/2) (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 3)))
(expm1.f32 (log1p.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (pow.f32 u1 3)))))))
(exp.f32 (log.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (pow.f32 u1 3)))))))
(exp.f32 (*.f32 (log.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (pow.f32 u1 3)))))) 1))
(log1p.f32 (expm1.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (pow.f32 u1 3)))))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) 1)
(pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 1)
(pow.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 2)
(pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 3)
(pow.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 3) 1/3)
(sqrt.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 2))
(log.f32 (pow.f32 (pow.f32 (exp.f32 2) u2) (PI.f32)))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (PI.f32) (*.f32 2 u2)))))
(cbrt.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 3))
(cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 (*.f32 2 u2) 3)))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 2 u2) 3) (pow.f32 (PI.f32) 3)))
(expm1.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 2 u2))))
(exp.f32 (log.f32 (*.f32 (PI.f32) (*.f32 2 u2))))
(exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 1))
(log1p.f32 (expm1.f32 (*.f32 (PI.f32) (*.f32 2 u2))))
(-.f32 (exp.f32 (log1p.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))))) 1)
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 1)
(*.f32 1 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))))
(*.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))))
(*.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) 2))
(*.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) 2) (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))))
(pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 1)
(pow.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) 2)
(pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) 3)
(pow.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 3) 1/3)
(sqrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 2))
(log.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))))
(log.f32 (+.f32 1 (expm1.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))))))
(cbrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 3))
(expm1.f32 (log1p.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))))
(exp.f32 (log.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))))
(exp.f32 (*.f32 (log.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) 1))
(log1p.f32 (expm1.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))))
Outputs
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 (log.f32 (+.f32 (pow.f32 u1 2) (+.f32 1 u1))) (log.f32 (-.f32 1 (pow.f32 u1 3)))))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 (log.f32 (+.f32 (*.f32 u1 u1) (+.f32 u1 1))) (log.f32 (-.f32 1 (pow.f32 u1 3)))))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 (log.f32 (+.f32 u1 (fma.f32 u1 u1 1))) (log1p.f32 (neg.f32 (pow.f32 u1 3)))))))
(*.f32 (*.f32 u2 (PI.f32)) (*.f32 2 (sqrt.f32 (-.f32 (log.f32 (+.f32 u1 (fma.f32 u1 u1 1))) (log1p.f32 (neg.f32 (pow.f32 u1 3)))))))
(+.f32 (*.f32 -4/3 (*.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (-.f32 (log.f32 (+.f32 (pow.f32 u1 2) (+.f32 1 u1))) (log.f32 (-.f32 1 (pow.f32 u1 3))))))) (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 (log.f32 (+.f32 (pow.f32 u1 2) (+.f32 1 u1))) (log.f32 (-.f32 1 (pow.f32 u1 3))))))))
(fma.f32 -4/3 (*.f32 (sqrt.f32 (-.f32 (log.f32 (+.f32 (*.f32 u1 u1) (+.f32 u1 1))) (log.f32 (-.f32 1 (pow.f32 u1 3))))) (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 (log.f32 (+.f32 (*.f32 u1 u1) (+.f32 u1 1))) (log.f32 (-.f32 1 (pow.f32 u1 3))))))))
(*.f32 (sqrt.f32 (-.f32 (log.f32 (+.f32 u1 (fma.f32 u1 u1 1))) (log1p.f32 (neg.f32 (pow.f32 u1 3))))) (fma.f32 (PI.f32) (*.f32 2 u2) (*.f32 (pow.f32 u2 3) (*.f32 (pow.f32 (PI.f32) 3) -4/3))))
(*.f32 (sqrt.f32 (-.f32 (log.f32 (+.f32 u1 (fma.f32 u1 u1 1))) (log1p.f32 (neg.f32 (pow.f32 u1 3))))) (fma.f32 (*.f32 -4/3 (pow.f32 u2 3)) (pow.f32 (PI.f32) 3) (*.f32 2 (*.f32 u2 (PI.f32)))))
(+.f32 (*.f32 -4/3 (*.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (-.f32 (log.f32 (+.f32 (pow.f32 u1 2) (+.f32 1 u1))) (log.f32 (-.f32 1 (pow.f32 u1 3))))))) (+.f32 (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 (log.f32 (+.f32 (pow.f32 u1 2) (+.f32 1 u1))) (log.f32 (-.f32 1 (pow.f32 u1 3))))))) (*.f32 4/15 (*.f32 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (sqrt.f32 (-.f32 (log.f32 (+.f32 (pow.f32 u1 2) (+.f32 1 u1))) (log.f32 (-.f32 1 (pow.f32 u1 3)))))))))
(fma.f32 -4/3 (*.f32 (sqrt.f32 (-.f32 (log.f32 (+.f32 (*.f32 u1 u1) (+.f32 u1 1))) (log.f32 (-.f32 1 (pow.f32 u1 3))))) (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (fma.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 (log.f32 (+.f32 (*.f32 u1 u1) (+.f32 u1 1))) (log.f32 (-.f32 1 (pow.f32 u1 3)))))) (*.f32 4/15 (*.f32 (sqrt.f32 (-.f32 (log.f32 (+.f32 (*.f32 u1 u1) (+.f32 u1 1))) (log.f32 (-.f32 1 (pow.f32 u1 3))))) (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))))))
(+.f32 (*.f32 (sqrt.f32 (-.f32 (log.f32 (+.f32 u1 (fma.f32 u1 u1 1))) (log1p.f32 (neg.f32 (pow.f32 u1 3))))) (fma.f32 (PI.f32) (*.f32 2 u2) (*.f32 (pow.f32 u2 3) (*.f32 (pow.f32 (PI.f32) 3) -4/3)))) (*.f32 (sqrt.f32 (-.f32 (log.f32 (+.f32 u1 (fma.f32 u1 u1 1))) (log1p.f32 (neg.f32 (pow.f32 u1 3))))) (*.f32 4/15 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)))))
(+.f32 (*.f32 (sqrt.f32 (-.f32 (log.f32 (+.f32 u1 (fma.f32 u1 u1 1))) (log1p.f32 (neg.f32 (pow.f32 u1 3))))) (fma.f32 (*.f32 -4/3 (pow.f32 u2 3)) (pow.f32 (PI.f32) 3) (*.f32 2 (*.f32 u2 (PI.f32))))) (*.f32 (sqrt.f32 (-.f32 (log.f32 (+.f32 u1 (fma.f32 u1 u1 1))) (log1p.f32 (neg.f32 (pow.f32 u1 3))))) (*.f32 4/15 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)))))
(+.f32 (*.f32 -4/3 (*.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (-.f32 (log.f32 (+.f32 (pow.f32 u1 2) (+.f32 1 u1))) (log.f32 (-.f32 1 (pow.f32 u1 3))))))) (+.f32 (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 (log.f32 (+.f32 (pow.f32 u1 2) (+.f32 1 u1))) (log.f32 (-.f32 1 (pow.f32 u1 3))))))) (+.f32 (*.f32 4/15 (*.f32 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (sqrt.f32 (-.f32 (log.f32 (+.f32 (pow.f32 u1 2) (+.f32 1 u1))) (log.f32 (-.f32 1 (pow.f32 u1 3))))))) (*.f32 -8/315 (*.f32 (*.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7)) (sqrt.f32 (-.f32 (log.f32 (+.f32 (pow.f32 u1 2) (+.f32 1 u1))) (log.f32 (-.f32 1 (pow.f32 u1 3))))))))))
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(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (pow.f32 u1 3)))))
(*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (pow.f32 u1 3)))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (pow.f32 u1 3)))))
(exp.f32 (*.f32 (log.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (pow.f32 u1 3)))))) 1))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (pow.f32 u1 3)))))
(*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (pow.f32 u1 3)))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (pow.f32 u1 3)))))
(log1p.f32 (expm1.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (pow.f32 u1 3)))))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (pow.f32 u1 3)))))
(*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (pow.f32 u1 3)))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (pow.f32 u1 3)))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) 1)
(*.f32 (PI.f32) (*.f32 2 u2))
(*.f32 u2 (*.f32 2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 1)
(*.f32 (PI.f32) (*.f32 2 u2))
(*.f32 u2 (*.f32 2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(pow.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 2)
(*.f32 (PI.f32) (*.f32 2 u2))
(*.f32 u2 (*.f32 2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 3)
(*.f32 (PI.f32) (*.f32 2 u2))
(*.f32 u2 (*.f32 2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(pow.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 3) 1/3)
(*.f32 (PI.f32) (*.f32 2 u2))
(*.f32 u2 (*.f32 2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(sqrt.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 2))
(fabs.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(fabs.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(log.f32 (pow.f32 (pow.f32 (exp.f32 2) u2) (PI.f32)))
(*.f32 (PI.f32) (*.f32 u2 (log.f32 (exp.f32 2))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (PI.f32) (*.f32 2 u2)))))
(*.f32 (PI.f32) (*.f32 2 u2))
(*.f32 u2 (*.f32 2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(cbrt.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 3))
(*.f32 (PI.f32) (*.f32 2 u2))
(*.f32 u2 (*.f32 2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 (*.f32 2 u2) 3)))
(*.f32 (PI.f32) (*.f32 2 u2))
(*.f32 u2 (*.f32 2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 2 u2) 3) (pow.f32 (PI.f32) 3)))
(*.f32 (PI.f32) (*.f32 2 u2))
(*.f32 u2 (*.f32 2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(expm1.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 2 u2))))
(*.f32 (PI.f32) (*.f32 2 u2))
(*.f32 u2 (*.f32 2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(exp.f32 (log.f32 (*.f32 (PI.f32) (*.f32 2 u2))))
(*.f32 (PI.f32) (*.f32 2 u2))
(*.f32 u2 (*.f32 2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 1))
(*.f32 (PI.f32) (*.f32 2 u2))
(*.f32 u2 (*.f32 2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(log1p.f32 (expm1.f32 (*.f32 (PI.f32) (*.f32 2 u2))))
(*.f32 (PI.f32) (*.f32 2 u2))
(*.f32 u2 (*.f32 2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(-.f32 (exp.f32 (log1p.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))))) 1)
(sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))
(sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 1)
(sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))
(sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(*.f32 1 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))))
(sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))
(sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(*.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))))
(sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))
(sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(*.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) 2))
(sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))
(sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(*.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) 2) (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))))
(sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))
(sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 1)
(sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))
(sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(pow.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) 2)
(sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))
(sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) 3)
(sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))
(sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(pow.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 3) 1/3)
(sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))
(sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sqrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 2))
(fabs.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))
(fabs.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(log.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))))
(sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))
(sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(log.f32 (+.f32 1 (expm1.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))))))
(sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))
(sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(cbrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 3))
(sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))
(sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(expm1.f32 (log1p.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))))
(sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))
(sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(exp.f32 (log.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))))
(sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))
(sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(exp.f32 (*.f32 (log.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) 1))
(sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))
(sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(log1p.f32 (expm1.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))))
(sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))
(sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))

localize38.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(sqrt.f32 (log1p.f32 u1))
0.2b
(*.f32 (*.f32 2 u2) (sqrt.f32 (log1p.f32 u1)))
0.4b
(*.f32 (PI.f32) (*.f32 (*.f32 2 u2) (sqrt.f32 (log1p.f32 u1))))
Compiler

Compiled 31 to 16 computations (48.4% saved)

series50.0ms (0.3%)

Counts
3 → 48
Calls

15 calls:

TimeVariablePointExpression
37.0ms
u2
@-inf
(*.f32 (*.f32 2 u2) (sqrt.f32 (log1p.f32 u1)))
4.0ms
u2
@0
(*.f32 (PI.f32) (*.f32 (*.f32 2 u2) (sqrt.f32 (log1p.f32 u1))))
1.0ms
u1
@-inf
(*.f32 (PI.f32) (*.f32 (*.f32 2 u2) (sqrt.f32 (log1p.f32 u1))))
1.0ms
u1
@inf
(*.f32 (PI.f32) (*.f32 (*.f32 2 u2) (sqrt.f32 (log1p.f32 u1))))
1.0ms
u1
@-inf
(*.f32 (*.f32 2 u2) (sqrt.f32 (log1p.f32 u1)))

rewrite75.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1116×sqrt-prod
1016×unswap-sqr
834×swap-sqr
464×sqr-pow
452×pow-sqr
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01359
125759
2301259
Stop Event
node limit
Counts
3 → 71
Calls
Call 1
Inputs
(*.f32 (PI.f32) (*.f32 (*.f32 2 u2) (sqrt.f32 (log1p.f32 u1))))
(*.f32 (*.f32 2 u2) (sqrt.f32 (log1p.f32 u1)))
(sqrt.f32 (log1p.f32 u1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 2 (*.f32 u2 (sqrt.f32 (log1p.f32 u1))))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 2 (*.f32 u2 (sqrt.f32 (log1p.f32 u1))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 2 (*.f32 u2 (sqrt.f32 (log1p.f32 u1))))))) (exp.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 2 (*.f32 u2 (sqrt.f32 (log1p.f32 u1)))))))) 1) (+.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 2 (*.f32 u2 (sqrt.f32 (log1p.f32 u1))))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (pow.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 2 (*.f32 u2 (sqrt.f32 (log1p.f32 u1))))))) 3) 1) (+.f32 (*.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 2 (*.f32 u2 (sqrt.f32 (log1p.f32 u1))))))) (exp.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 2 (*.f32 u2 (sqrt.f32 (log1p.f32 u1)))))))) (+.f32 1 (*.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 2 (*.f32 u2 (sqrt.f32 (log1p.f32 u1))))))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (PI.f32) (*.f32 2 (*.f32 u2 (sqrt.f32 (log1p.f32 u1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 2 (*.f32 u2 (sqrt.f32 (log1p.f32 u1)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 2 (*.f32 u2 (sqrt.f32 (log1p.f32 u1)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 2 (*.f32 u2 (sqrt.f32 (log1p.f32 u1))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f32 (*.f32 (PI.f32) (*.f32 2 (*.f32 u2 (sqrt.f32 (log1p.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (pow.f32 (exp.f32 2) (*.f32 u2 (sqrt.f32 (log1p.f32 u1)))) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (PI.f32) (*.f32 2 (*.f32 u2 (sqrt.f32 (log1p.f32 u1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 2 (*.f32 u2 (sqrt.f32 (log1p.f32 u1))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 (*.f32 2 (*.f32 u2 (sqrt.f32 (log1p.f32 u1)))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (*.f32 2 (*.f32 u2 (sqrt.f32 (log1p.f32 u1)))) 3) (pow.f32 (PI.f32) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 2 (*.f32 u2 (sqrt.f32 (log1p.f32 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (PI.f32) (*.f32 2 (*.f32 u2 (sqrt.f32 (log1p.f32 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (PI.f32) (*.f32 2 (*.f32 u2 (sqrt.f32 (log1p.f32 u1)))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (exp.f32 (log1p.f32 (*.f32 2 (*.f32 u2 (sqrt.f32 (log1p.f32 u1)))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 2 (*.f32 u2 (sqrt.f32 (log1p.f32 u1)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 (exp.f32 (log1p.f32 (*.f32 2 (*.f32 u2 (sqrt.f32 (log1p.f32 u1)))))) (exp.f32 (log1p.f32 (*.f32 2 (*.f32 u2 (sqrt.f32 (log1p.f32 u1))))))) 1) (+.f32 (exp.f32 (log1p.f32 (*.f32 2 (*.f32 u2 (sqrt.f32 (log1p.f32 u1)))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (pow.f32 (exp.f32 (log1p.f32 (*.f32 2 (*.f32 u2 (sqrt.f32 (log1p.f32 u1)))))) 3) 1) (+.f32 (*.f32 (exp.f32 (log1p.f32 (*.f32 2 (*.f32 u2 (sqrt.f32 (log1p.f32 u1)))))) (exp.f32 (log1p.f32 (*.f32 2 (*.f32 u2 (sqrt.f32 (log1p.f32 u1))))))) (+.f32 1 (*.f32 (exp.f32 (log1p.f32 (*.f32 2 (*.f32 u2 (sqrt.f32 (log1p.f32 u1)))))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 2 (*.f32 u2 (sqrt.f32 (log1p.f32 u1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 2 (*.f32 u2 (sqrt.f32 (log1p.f32 u1))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 2 (*.f32 u2 (sqrt.f32 (log1p.f32 u1))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 2 (*.f32 u2 (sqrt.f32 (log1p.f32 u1)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (log1p.f32 u1) (*.f32 4 (*.f32 u2 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f32 (*.f32 2 (*.f32 u2 (sqrt.f32 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 2) (*.f32 u2 (sqrt.f32 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 2 (*.f32 u2 (sqrt.f32 (log1p.f32 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 2 (*.f32 u2 (sqrt.f32 (log1p.f32 u1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (*.f32 2 u2) 3) (pow.f32 (log1p.f32 u1) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (*.f32 2 u2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 2 (*.f32 u2 (sqrt.f32 (log1p.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 2 (*.f32 u2 (sqrt.f32 (log1p.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 2 (*.f32 u2 (sqrt.f32 (log1p.f32 u1))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log1p.f32 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (log1p.f32 u1) 1/4) (pow.f32 (log1p.f32 u1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (sqrt.f32 (*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log1p.f32 u1)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (sqrt.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 1 1/2) (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) 1/2) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))) (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) 3/2) (pow.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/6) (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (fabs.f32 (pow.f32 1 1/2)) (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (fabs.f32 (pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) 1/2)) (fabs.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 3/2))) (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cbrt.f32 (log1p.f32 u1)))) (sqrt.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1)))) (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1))))) 1) (+.f32 (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (pow.f32 (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1)))) 3) 1) (+.f32 (*.f32 (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1)))) (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1))))) (+.f32 1 (*.f32 (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1)))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log1p.f32 u1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log1p.f32 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f32 (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f32 (-.f32 1 (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (sqrt.f32 (log1p.f32 u1))))))))

simplify113.0ms (0.8%)

Algorithm
egg-herbie
Rules
1566×associate-/l*
1546×distribute-lft-in
1434×associate-/r*
976×associate-*r/
820×associate-*l/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03266731
19316173
234866085
Stop Event
node limit
Counts
119 → 190
Calls
Call 1
Inputs
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (/.f32 1 u1)))))
(+.f32 (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (/.f32 1 u1))))) (*.f32 (/.f32 (*.f32 u2 (PI.f32)) (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1))))))
(+.f32 (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (/.f32 1 u1))))) (+.f32 (*.f32 -1 (*.f32 (/.f32 (*.f32 u2 (*.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) 2)) (PI.f32))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (*.f32 (/.f32 (*.f32 u2 (PI.f32)) (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (/.f32 1 u1))))) (+.f32 (*.f32 -1 (*.f32 (/.f32 (*.f32 u2 (*.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) 2)) (PI.f32))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (*.f32 (/.f32 (*.f32 u2 (*.f32 (-.f32 1/3 (*.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) 2)) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 1 u1)))))) (PI.f32))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1))))) (*.f32 (/.f32 (*.f32 u2 (PI.f32)) (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1))))))))
(*.f32 2 (*.f32 (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (*.f32 u2 (PI.f32))))
(+.f32 (*.f32 2 (*.f32 (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (*.f32 u2 (PI.f32)))) (*.f32 (/.f32 (*.f32 u2 (PI.f32)) u1) (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))))
(+.f32 (*.f32 2 (*.f32 (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (*.f32 u2 (PI.f32)))) (+.f32 (*.f32 (/.f32 (*.f32 u2 (PI.f32)) u1) (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (*.f32 -1 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 (*.f32 u2 (*.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) 2)) (PI.f32))) (pow.f32 u1 2))))))
(+.f32 (*.f32 (/.f32 (*.f32 u2 (*.f32 (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) 2)) (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (PI.f32))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (+.f32 (*.f32 2 (*.f32 (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (*.f32 u2 (PI.f32)))) (+.f32 (*.f32 (/.f32 (*.f32 u2 (PI.f32)) u1) (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (*.f32 -1 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 (*.f32 u2 (*.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) 2)) (PI.f32))) (pow.f32 u1 2)))))))
(*.f32 2 (*.f32 u2 (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(*.f32 2 (*.f32 u2 (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(*.f32 2 (*.f32 u2 (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(*.f32 2 (*.f32 u2 (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(*.f32 2 (*.f32 u2 (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(*.f32 2 (*.f32 u2 (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(*.f32 2 (*.f32 u2 (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(*.f32 2 (*.f32 u2 (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(*.f32 2 (*.f32 u2 (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(*.f32 2 (*.f32 u2 (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(*.f32 2 (*.f32 u2 (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(*.f32 2 (*.f32 u2 (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) u2) (sqrt.f32 (log.f32 (/.f32 1 u1)))))
(+.f32 (*.f32 (/.f32 u2 (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1))))) (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) u2) (sqrt.f32 (log.f32 (/.f32 1 u1))))))
(+.f32 (*.f32 (/.f32 u2 (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1))))) (+.f32 (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) u2) (sqrt.f32 (log.f32 (/.f32 1 u1))))) (*.f32 -1 (*.f32 (/.f32 (*.f32 u2 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) 2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1))))))))
(+.f32 (*.f32 (/.f32 u2 (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1))))) (+.f32 (*.f32 (/.f32 (*.f32 u2 (-.f32 1/3 (*.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) 2)) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 1 u1))))))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1))))) (+.f32 (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) u2) (sqrt.f32 (log.f32 (/.f32 1 u1))))) (*.f32 -1 (*.f32 (/.f32 (*.f32 u2 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) 2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))))))
(*.f32 2 (*.f32 (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) u2))
(+.f32 (*.f32 2 (*.f32 (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) u2)) (*.f32 (/.f32 u2 u1) (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))))
(+.f32 (*.f32 -1 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 (*.f32 u2 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) 2))) (pow.f32 u1 2)))) (+.f32 (*.f32 2 (*.f32 (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) u2)) (*.f32 (/.f32 u2 u1) (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))))
(+.f32 (*.f32 -1 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 (*.f32 u2 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) 2))) (pow.f32 u1 2)))) (+.f32 (*.f32 2 (*.f32 (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) u2)) (+.f32 (*.f32 (/.f32 (*.f32 u2 (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) 2)) (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (*.f32 (/.f32 u2 u1) (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))))))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1))))
(+.f32 (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (*.f32 1/2 (*.f32 (/.f32 1 (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) 2)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (*.f32 1/2 (*.f32 (/.f32 1 (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1))))))))
(+.f32 (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) 2)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (*.f32 1/2 (*.f32 (/.f32 1 (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (*.f32 1/2 (*.f32 (/.f32 (-.f32 1/3 (*.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) 2)) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 1 u1)))))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))))))
(sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))
(+.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 1 u1))) (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))
(+.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 1 u1))) (+.f32 (*.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) 2)) (pow.f32 u1 2)))) (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))
(+.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 1 u1))) (+.f32 (*.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) 2)) (pow.f32 u1 2)))) (+.f32 (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) 2)) (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (pow.f32 u1 3)))))))
(+.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 2 (*.f32 u2 (sqrt.f32 (log1p.f32 u1))))))) -1)
(-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 2 (*.f32 u2 (sqrt.f32 (log1p.f32 u1))))))) 1)
(/.f32 (-.f32 (*.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 2 (*.f32 u2 (sqrt.f32 (log1p.f32 u1))))))) (exp.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 2 (*.f32 u2 (sqrt.f32 (log1p.f32 u1)))))))) 1) (+.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 2 (*.f32 u2 (sqrt.f32 (log1p.f32 u1))))))) 1))
(/.f32 (-.f32 (pow.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 2 (*.f32 u2 (sqrt.f32 (log1p.f32 u1))))))) 3) 1) (+.f32 (*.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 2 (*.f32 u2 (sqrt.f32 (log1p.f32 u1))))))) (exp.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 2 (*.f32 u2 (sqrt.f32 (log1p.f32 u1)))))))) (+.f32 1 (*.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 2 (*.f32 u2 (sqrt.f32 (log1p.f32 u1))))))) 1))))
(pow.f32 (*.f32 (PI.f32) (*.f32 2 (*.f32 u2 (sqrt.f32 (log1p.f32 u1))))) 1)
(pow.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 2 (*.f32 u2 (sqrt.f32 (log1p.f32 u1)))))) 2)
(pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 2 (*.f32 u2 (sqrt.f32 (log1p.f32 u1)))))) 3)
(pow.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 2 (*.f32 u2 (sqrt.f32 (log1p.f32 u1))))) 3) 1/3)
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 2)))
(fabs.f32 (*.f32 (PI.f32) (*.f32 2 (*.f32 u2 (sqrt.f32 (log1p.f32 u1))))))
(log.f32 (pow.f32 (pow.f32 (exp.f32 2) (*.f32 u2 (sqrt.f32 (log1p.f32 u1)))) (PI.f32)))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (PI.f32) (*.f32 2 (*.f32 u2 (sqrt.f32 (log1p.f32 u1))))))))
(cbrt.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 2 (*.f32 u2 (sqrt.f32 (log1p.f32 u1))))) 3))
(cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 (*.f32 2 (*.f32 u2 (sqrt.f32 (log1p.f32 u1)))) 3)))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 2 (*.f32 u2 (sqrt.f32 (log1p.f32 u1)))) 3) (pow.f32 (PI.f32) 3)))
(expm1.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 2 (*.f32 u2 (sqrt.f32 (log1p.f32 u1)))))))
(exp.f32 (log.f32 (*.f32 (PI.f32) (*.f32 2 (*.f32 u2 (sqrt.f32 (log1p.f32 u1)))))))
(log1p.f32 (expm1.f32 (*.f32 (PI.f32) (*.f32 2 (*.f32 u2 (sqrt.f32 (log1p.f32 u1)))))))
(+.f32 (exp.f32 (log1p.f32 (*.f32 2 (*.f32 u2 (sqrt.f32 (log1p.f32 u1)))))) -1)
(-.f32 (exp.f32 (log1p.f32 (*.f32 2 (*.f32 u2 (sqrt.f32 (log1p.f32 u1)))))) 1)
(/.f32 (-.f32 (*.f32 (exp.f32 (log1p.f32 (*.f32 2 (*.f32 u2 (sqrt.f32 (log1p.f32 u1)))))) (exp.f32 (log1p.f32 (*.f32 2 (*.f32 u2 (sqrt.f32 (log1p.f32 u1))))))) 1) (+.f32 (exp.f32 (log1p.f32 (*.f32 2 (*.f32 u2 (sqrt.f32 (log1p.f32 u1)))))) 1))
(/.f32 (-.f32 (pow.f32 (exp.f32 (log1p.f32 (*.f32 2 (*.f32 u2 (sqrt.f32 (log1p.f32 u1)))))) 3) 1) (+.f32 (*.f32 (exp.f32 (log1p.f32 (*.f32 2 (*.f32 u2 (sqrt.f32 (log1p.f32 u1)))))) (exp.f32 (log1p.f32 (*.f32 2 (*.f32 u2 (sqrt.f32 (log1p.f32 u1))))))) (+.f32 1 (*.f32 (exp.f32 (log1p.f32 (*.f32 2 (*.f32 u2 (sqrt.f32 (log1p.f32 u1)))))) 1))))
(pow.f32 (*.f32 2 (*.f32 u2 (sqrt.f32 (log1p.f32 u1)))) 1)
(pow.f32 (sqrt.f32 (*.f32 2 (*.f32 u2 (sqrt.f32 (log1p.f32 u1))))) 2)
(pow.f32 (cbrt.f32 (*.f32 2 (*.f32 u2 (sqrt.f32 (log1p.f32 u1))))) 3)
(pow.f32 (pow.f32 (*.f32 2 (*.f32 u2 (sqrt.f32 (log1p.f32 u1)))) 3) 1/3)
(sqrt.f32 (*.f32 (log1p.f32 u1) (*.f32 4 (*.f32 u2 u2))))
(fabs.f32 (*.f32 2 (*.f32 u2 (sqrt.f32 (log1p.f32 u1)))))
(log.f32 (pow.f32 (exp.f32 2) (*.f32 u2 (sqrt.f32 (log1p.f32 u1)))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 2 (*.f32 u2 (sqrt.f32 (log1p.f32 u1)))))))
(cbrt.f32 (pow.f32 (*.f32 2 (*.f32 u2 (sqrt.f32 (log1p.f32 u1)))) 3))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 2 u2) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (*.f32 2 u2) 3)))
(expm1.f32 (log1p.f32 (*.f32 2 (*.f32 u2 (sqrt.f32 (log1p.f32 u1))))))
(exp.f32 (log.f32 (*.f32 2 (*.f32 u2 (sqrt.f32 (log1p.f32 u1))))))
(log1p.f32 (expm1.f32 (*.f32 2 (*.f32 u2 (sqrt.f32 (log1p.f32 u1))))))
(+.f32 (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1)))) -1)
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1)))) 1)
(*.f32 (sqrt.f32 (log1p.f32 u1)) 1)
(*.f32 1 (sqrt.f32 (log1p.f32 u1)))
(*.f32 (pow.f32 (log1p.f32 u1) 1/4) (pow.f32 (log1p.f32 u1) 1/4))
(*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (log1p.f32 u1)))
(*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (sqrt.f32 (*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1)))))
(*.f32 (cbrt.f32 (log1p.f32 u1)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1))))
(*.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (sqrt.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 3/2))))
(*.f32 (pow.f32 1 1/2) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) 1/2) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 1/2))
(*.f32 (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))) (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))))
(*.f32 (pow.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) 3/2) (pow.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) 3/2))
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/6) (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/6))
(*.f32 (fabs.f32 (pow.f32 1 1/2)) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (fabs.f32 (pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) 1/2)) (fabs.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 1/2)))
(*.f32 (sqrt.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 3/2))) (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/4)))
(*.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cbrt.f32 (log1p.f32 u1)))) (sqrt.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))))
(/.f32 (-.f32 (*.f32 (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1)))) (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1))))) 1) (+.f32 (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1)))) 1))
(/.f32 (-.f32 (pow.f32 (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1)))) 3) 1) (+.f32 (*.f32 (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1)))) (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1))))) (+.f32 1 (*.f32 (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1)))) 1))))
(pow.f32 (log1p.f32 u1) 1/2)
(pow.f32 (sqrt.f32 (log1p.f32 u1)) 1)
(pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2)
(pow.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) 3)
(pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3)
(fabs.f32 (sqrt.f32 (log1p.f32 u1)))
(fabs.f32 (-.f32 1 (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1))))))
(fabs.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))))
(log.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))))
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (log1p.f32 u1)))))
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
(expm1.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1))))
(exp.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))))
(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2))
(log1p.f32 (expm1.f32 (sqrt.f32 (log1p.f32 u1))))
Outputs
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (/.f32 1 u1)))))
(*.f32 2 (*.f32 (sqrt.f32 -1) (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (neg.f32 (log.f32 u1))))))
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(log1p.f32 (expm1.f32 (*.f32 2 (*.f32 u2 (sqrt.f32 (log1p.f32 u1))))))
(*.f32 (*.f32 2 u2) (sqrt.f32 (log1p.f32 u1)))
(*.f32 2 (*.f32 u2 (sqrt.f32 (log1p.f32 u1))))
(*.f32 u2 (*.f32 2 (sqrt.f32 (log1p.f32 u1))))
(+.f32 (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1)))) -1)
(sqrt.f32 (log1p.f32 u1))
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1)))) 1)
(sqrt.f32 (log1p.f32 u1))
(*.f32 (sqrt.f32 (log1p.f32 u1)) 1)
(sqrt.f32 (log1p.f32 u1))
(*.f32 1 (sqrt.f32 (log1p.f32 u1)))
(sqrt.f32 (log1p.f32 u1))
(*.f32 (pow.f32 (log1p.f32 u1) 1/4) (pow.f32 (log1p.f32 u1) 1/4))
(sqrt.f32 (log1p.f32 u1))
(*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (log1p.f32 u1)))
(*.f32 (cbrt.f32 (log1p.f32 u1)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1))))
(pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2)
(*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (sqrt.f32 (*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1)))))
(*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1))))))
(*.f32 (cbrt.f32 (log1p.f32 u1)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1))))
(pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2)
(*.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (sqrt.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 3/2))))
(*.f32 (fabs.f32 (pow.f32 (log1p.f32 u1) 1/8)) (sqrt.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 3/2))))
(*.f32 (pow.f32 1 1/2) (sqrt.f32 (log1p.f32 u1)))
(sqrt.f32 (log1p.f32 u1))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) 1/2) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 1/2))
(*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)))
(*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (fabs.f32 (cbrt.f32 (log1p.f32 u1))))
(*.f32 (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))) (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))))
(*.f32 (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4))) (*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))))
(*.f32 (cbrt.f32 (log1p.f32 u1)) (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4))))
(*.f32 (pow.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) 3/2) (pow.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) 3/2))
(*.f32 (cbrt.f32 (log1p.f32 u1)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1))))
(pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2)
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/6) (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/6))
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
(*.f32 (fabs.f32 (pow.f32 1 1/2)) (sqrt.f32 (log1p.f32 u1)))
(sqrt.f32 (log1p.f32 u1))
(*.f32 (fabs.f32 (pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) 1/2)) (fabs.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 1/2)))
(*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)))
(*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (fabs.f32 (cbrt.f32 (log1p.f32 u1))))
(*.f32 (sqrt.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 3/2))) (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/4)))
(*.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (sqrt.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 3/2))))
(*.f32 (fabs.f32 (pow.f32 (log1p.f32 u1) 1/8)) (sqrt.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 3/2))))
(*.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cbrt.f32 (log1p.f32 u1)))) (sqrt.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))))
(/.f32 (-.f32 (*.f32 (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1)))) (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1))))) 1) (+.f32 (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1)))) 1))
(/.f32 (*.f32 (+.f32 1 (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1))))) (sqrt.f32 (log1p.f32 u1))) (+.f32 1 (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1))))))
(/.f32 (expm1.f32 (*.f32 2 (log1p.f32 (sqrt.f32 (log1p.f32 u1))))) (+.f32 1 (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1))))))
(/.f32 (-.f32 (pow.f32 (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1)))) 3) 1) (+.f32 (*.f32 (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1)))) (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1))))) (+.f32 1 (*.f32 (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1)))) 1))))
(/.f32 (+.f32 (pow.f32 (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1)))) 3) -1) (+.f32 (exp.f32 (+.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1))) (log1p.f32 (sqrt.f32 (log1p.f32 u1))))) (+.f32 1 (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1)))))))
(/.f32 (+.f32 -1 (pow.f32 (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1)))) 3)) (+.f32 (exp.f32 (*.f32 2 (log1p.f32 (sqrt.f32 (log1p.f32 u1))))) (+.f32 1 (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1)))))))
(/.f32 (+.f32 -1 (pow.f32 (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1)))) 3)) (+.f32 1 (+.f32 (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1)))) (exp.f32 (*.f32 2 (log1p.f32 (sqrt.f32 (log1p.f32 u1))))))))
(pow.f32 (log1p.f32 u1) 1/2)
(sqrt.f32 (log1p.f32 u1))
(pow.f32 (sqrt.f32 (log1p.f32 u1)) 1)
(sqrt.f32 (log1p.f32 u1))
(pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2)
(sqrt.f32 (log1p.f32 u1))
(pow.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) 3)
(*.f32 (cbrt.f32 (log1p.f32 u1)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1))))
(pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2)
(pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3)
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
(fabs.f32 (sqrt.f32 (log1p.f32 u1)))
(sqrt.f32 (log1p.f32 u1))
(fabs.f32 (-.f32 1 (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1))))))
(sqrt.f32 (log1p.f32 u1))
(fabs.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))))
(sqrt.f32 (log1p.f32 u1))
(log.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))))
(sqrt.f32 (log1p.f32 u1))
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (log1p.f32 u1)))))
(sqrt.f32 (log1p.f32 u1))
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
(expm1.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1))))
(sqrt.f32 (log1p.f32 u1))
(exp.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))))
(sqrt.f32 (log1p.f32 u1))
(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2))
(sqrt.f32 (log1p.f32 u1))
(log1p.f32 (expm1.f32 (sqrt.f32 (log1p.f32 u1))))
(sqrt.f32 (log1p.f32 u1))

localize52.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(sqrt.f32 (log1p.f32 u1))
0.3b
(*.f32 (PI.f32) (*.f32 2 u2))
0.3b
(*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))
1.8b
(exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))))
Compiler

Compiled 50 to 27 computations (46% saved)

series2.0ms (0%)

Counts
2 → 40
Calls

12 calls:

TimeVariablePointExpression
0.0ms
u1
@-inf
(exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))))
0.0ms
u1
@inf
(exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))))
0.0ms
u1
@0
(exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))))
0.0ms
u1
@-inf
(*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))
0.0ms
u1
@inf
(*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))

rewrite73.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1074×unswap-sqr
874×swap-sqr
500×sqr-pow
484×pow-sqr
448×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01558
128758
2322058
Stop Event
node limit
Counts
2 → 76
Calls
Call 1
Inputs
(exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (PI.f32) (*.f32 (*.f32 2 u2) (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 u2) (*.f32 (sqrt.f32 (log1p.f32 u1)) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) (*.f32 2 u2)) (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (*.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (log1p.f32 u1) 1/4) (*.f32 (pow.f32 (log1p.f32 u1) 1/4) (*.f32 (PI.f32) (*.f32 2 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))) (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 2) (*.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log1p.f32 u1)) (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (*.f32 (PI.f32) (*.f32 2 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))) (cbrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 2))) (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (PI.f32)) (*.f32 2 u2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) 2) (*.f32 u2 (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 2 u2)) (PI.f32))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) (sqrt.f32 (*.f32 (PI.f32) (*.f32 2 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 2)) (cbrt.f32 (*.f32 (PI.f32) (*.f32 2 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) 2)) u2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (*.f32 (PI.f32) (*.f32 2 u2)) (pow.f32 (log1p.f32 u1) 1/4)) (pow.f32 (log1p.f32 u1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (*.f32 (PI.f32) (*.f32 2 u2)) (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (PI.f32)) 2) u2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (PI.f32)) u2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (PI.f32)) (sqrt.f32 (*.f32 2 u2))) (sqrt.f32 (*.f32 2 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (PI.f32)) (pow.f32 (cbrt.f32 (*.f32 2 u2)) 2)) (cbrt.f32 (*.f32 2 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (*.f32 2 u2)) (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (PI.f32)))) (*.f32 (sqrt.f32 (*.f32 2 u2)) (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (*.f32 2 u2)) (*.f32 (pow.f32 (log1p.f32 u1) 1/4) (sqrt.f32 (PI.f32)))) (*.f32 (sqrt.f32 (*.f32 2 u2)) (*.f32 (pow.f32 (log1p.f32 u1) 1/4) (sqrt.f32 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2))))) (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2))))) (*.f32 (sqrt.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2))))) (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2))))) (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2))))) (*.f32 (cbrt.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2))))) (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 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simplify88.0ms (0.6%)

Algorithm
egg-herbie
Rules
1072×times-frac
892×unswap-sqr
876×associate-/l*
750×distribute-rgt-in
750×associate-/r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02357148
16356668
224736376
Stop Event
node limit
Counts
116 → 118
Calls
Call 1
Inputs
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (/.f32 1 u1)))))
(+.f32 (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (/.f32 1 u1))))) (*.f32 (/.f32 (*.f32 u2 (PI.f32)) (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1))))))
(+.f32 (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (/.f32 1 u1))))) (+.f32 (*.f32 -1 (*.f32 (/.f32 (*.f32 u2 (*.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) 2)) (PI.f32))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (*.f32 (/.f32 (*.f32 u2 (PI.f32)) (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (/.f32 1 u1))))) (+.f32 (*.f32 -1 (*.f32 (/.f32 (*.f32 u2 (*.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) 2)) (PI.f32))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (*.f32 (/.f32 (*.f32 u2 (*.f32 (-.f32 1/3 (*.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) 2)) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 1 u1)))))) (PI.f32))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1))))) (*.f32 (/.f32 (*.f32 u2 (PI.f32)) (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1))))))))
(*.f32 2 (*.f32 (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (*.f32 u2 (PI.f32))))
(+.f32 (*.f32 2 (*.f32 (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (*.f32 u2 (PI.f32)))) (*.f32 (/.f32 (*.f32 u2 (PI.f32)) u1) (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))))
(+.f32 (*.f32 2 (*.f32 (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (*.f32 u2 (PI.f32)))) (+.f32 (*.f32 (/.f32 (*.f32 u2 (PI.f32)) u1) (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (*.f32 -1 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 (*.f32 u2 (*.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) 2)) (PI.f32))) (pow.f32 u1 2))))))
(+.f32 (*.f32 (/.f32 (*.f32 u2 (*.f32 (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) 2)) (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (PI.f32))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (+.f32 (*.f32 2 (*.f32 (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (*.f32 u2 (PI.f32)))) (+.f32 (*.f32 (/.f32 (*.f32 u2 (PI.f32)) u1) (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (*.f32 -1 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 (*.f32 u2 (*.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) 2)) (PI.f32))) (pow.f32 u1 2)))))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
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(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))))) (sqrt.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2))))))
(pow.f32 (exp.f32 1) (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2))))) 2)) (cbrt.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2))))))
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 2)))
(log.f32 (pow.f32 (pow.f32 (pow.f32 (exp.f32 u2) 2) (PI.f32)) (sqrt.f32 (log1p.f32 u1))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2))))))
(cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2))) 3))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 3)))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))))
(exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))))
(log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))))
Outputs
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (/.f32 1 u1)))))
(*.f32 2 (*.f32 (sqrt.f32 -1) (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (neg.f32 (log.f32 u1))))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 u1))) (*.f32 2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 -1)))))
(+.f32 (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (/.f32 1 u1))))) (*.f32 (/.f32 (*.f32 u2 (PI.f32)) (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1))))))
(fma.f32 2 (*.f32 (sqrt.f32 -1) (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (neg.f32 (log.f32 u1))))) (*.f32 (*.f32 (/.f32 u2 (sqrt.f32 -1)) (/.f32 (PI.f32) u1)) (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1))))))
(fma.f32 2 (*.f32 (sqrt.f32 -1) (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (neg.f32 (log.f32 u1))))) (*.f32 (*.f32 (/.f32 u2 (*.f32 (sqrt.f32 -1) u1)) (PI.f32)) (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1))))))
(fma.f32 2 (*.f32 (sqrt.f32 -1) (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 (neg.f32 (log.f32 u1)))))) (*.f32 (*.f32 (/.f32 u2 (sqrt.f32 -1)) (/.f32 (PI.f32) u1)) (sqrt.f32 (/.f32 -1 (log.f32 u1)))))
(+.f32 (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (/.f32 1 u1))))) (+.f32 (*.f32 -1 (*.f32 (/.f32 (*.f32 u2 (*.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) 2)) (PI.f32))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (*.f32 (/.f32 (*.f32 u2 (PI.f32)) (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))))
(fma.f32 2 (*.f32 (sqrt.f32 -1) (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (neg.f32 (log.f32 u1))))) (fma.f32 -1 (*.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (*.f32 (/.f32 u2 (sqrt.f32 -1)) (/.f32 (*.f32 (PI.f32) (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 1 (sqrt.f32 -1)))) 2))) (*.f32 u1 u1)))) (*.f32 (*.f32 (/.f32 u2 (sqrt.f32 -1)) (/.f32 (PI.f32) u1)) (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))))))
(fma.f32 2 (*.f32 (sqrt.f32 -1) (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (neg.f32 (log.f32 u1))))) (*.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (+.f32 (*.f32 (/.f32 u2 (*.f32 (sqrt.f32 -1) u1)) (PI.f32)) (neg.f32 (*.f32 (/.f32 u2 (sqrt.f32 -1)) (/.f32 (PI.f32) (/.f32 (*.f32 u1 u1) (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 1/2 (sqrt.f32 -1))) 2)))))))))
(fma.f32 2 (*.f32 (sqrt.f32 -1) (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 (neg.f32 (log.f32 u1)))))) (*.f32 (*.f32 (sqrt.f32 (/.f32 -1 (log.f32 u1))) (/.f32 u2 (sqrt.f32 -1))) (-.f32 (/.f32 (PI.f32) u1) (*.f32 (/.f32 (PI.f32) (*.f32 u1 u1)) (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 -1 (log.f32 u1))) (/.f32 1/2 (sqrt.f32 -1))) 2))))))
(+.f32 (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (/.f32 1 u1))))) (+.f32 (*.f32 -1 (*.f32 (/.f32 (*.f32 u2 (*.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) 2)) (PI.f32))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (*.f32 (/.f32 (*.f32 u2 (*.f32 (-.f32 1/3 (*.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) 2)) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 1 u1)))))) (PI.f32))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1))))) (*.f32 (/.f32 (*.f32 u2 (PI.f32)) (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1))))))))
(fma.f32 2 (*.f32 (sqrt.f32 -1) (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (neg.f32 (log.f32 u1))))) (fma.f32 -1 (*.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (*.f32 (/.f32 u2 (sqrt.f32 -1)) (/.f32 (*.f32 (PI.f32) (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 1 (sqrt.f32 -1)))) 2))) (*.f32 u1 u1)))) (*.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (+.f32 (*.f32 (/.f32 u2 (sqrt.f32 -1)) (/.f32 (*.f32 (PI.f32) (-.f32 1/3 (*.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 1 (sqrt.f32 -1)))) 2)) (*.f32 (neg.f32 (log.f32 u1)) (pow.f32 (sqrt.f32 -1) 2)))))) (pow.f32 u1 3))) (*.f32 (/.f32 u2 (sqrt.f32 -1)) (/.f32 (PI.f32) u1))))))
(fma.f32 2 (*.f32 (sqrt.f32 -1) (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (neg.f32 (log.f32 u1))))) (-.f32 (*.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (*.f32 (/.f32 u2 (sqrt.f32 -1)) (+.f32 (/.f32 (PI.f32) (/.f32 (pow.f32 u1 3) (-.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 1/2 (sqrt.f32 -1))) 2)) (neg.f32 (log.f32 u1))))))) (/.f32 (PI.f32) u1)))) (*.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (*.f32 (/.f32 u2 (sqrt.f32 -1)) (/.f32 (PI.f32) (/.f32 (*.f32 u1 u1) (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 1/2 (sqrt.f32 -1))) 2))))))))
(fma.f32 2 (*.f32 (sqrt.f32 -1) (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 (neg.f32 (log.f32 u1)))))) (*.f32 (sqrt.f32 (/.f32 -1 (log.f32 u1))) (-.f32 (*.f32 (/.f32 (PI.f32) (sqrt.f32 -1)) (+.f32 (/.f32 u2 u1) (/.f32 u2 (/.f32 (pow.f32 u1 3) (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 -1 (log.f32 u1))) (/.f32 1/2 (sqrt.f32 -1))) 2)) (log.f32 u1)))))))) (*.f32 (/.f32 (PI.f32) (/.f32 u1 (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 -1 (log.f32 u1))) (/.f32 1/2 (sqrt.f32 -1))) 2)))) (/.f32 u2 (*.f32 (sqrt.f32 -1) u1))))))
(*.f32 2 (*.f32 (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (*.f32 u2 (PI.f32))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))))
(*.f32 (sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) (*.f32 u2 (*.f32 2 (PI.f32))))
(+.f32 (*.f32 2 (*.f32 (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (*.f32 u2 (PI.f32)))) (*.f32 (/.f32 (*.f32 u2 (PI.f32)) u1) (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))))
(fma.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))) (*.f32 (/.f32 u2 (/.f32 u1 (PI.f32))) (sqrt.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))))))
(fma.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (*.f32 (/.f32 u2 (/.f32 u1 (PI.f32))) (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))))))
(fma.f32 (*.f32 u2 (/.f32 (PI.f32) u1)) (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (*.f32 (sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) (*.f32 u2 (*.f32 2 (PI.f32)))))
(+.f32 (*.f32 2 (*.f32 (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (*.f32 u2 (PI.f32)))) (+.f32 (*.f32 (/.f32 (*.f32 u2 (PI.f32)) u1) (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (*.f32 -1 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 (*.f32 u2 (*.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) 2)) (PI.f32))) (pow.f32 u1 2))))))
(fma.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))) (fma.f32 (/.f32 u2 (/.f32 u1 (PI.f32))) (sqrt.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))) (neg.f32 (*.f32 (sqrt.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))) (/.f32 u2 (/.f32 (*.f32 u1 u1) (*.f32 (PI.f32) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))))) 2)))))))))
(-.f32 (fma.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (*.f32 (/.f32 u2 (/.f32 u1 (PI.f32))) (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))))) (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (*.f32 (/.f32 u2 (*.f32 u1 u1)) (*.f32 (PI.f32) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))))) 2))))))
(fma.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (-.f32 (*.f32 u2 (/.f32 (PI.f32) u1)) (*.f32 (*.f32 u2 (/.f32 (PI.f32) u1)) (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))))) 2)) u1)))))
(+.f32 (*.f32 (/.f32 (*.f32 u2 (*.f32 (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) 2)) (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (PI.f32))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (+.f32 (*.f32 2 (*.f32 (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (*.f32 u2 (PI.f32)))) (+.f32 (*.f32 (/.f32 (*.f32 u2 (PI.f32)) u1) (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (*.f32 -1 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 (*.f32 u2 (*.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) 2)) (PI.f32))) (pow.f32 u1 2)))))))
(fma.f32 (/.f32 (*.f32 u2 (*.f32 (PI.f32) (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))))) 2)) (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))) (fma.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))) (fma.f32 (/.f32 u2 (/.f32 u1 (PI.f32))) (sqrt.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))) (neg.f32 (*.f32 (sqrt.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))) (/.f32 u2 (/.f32 (*.f32 u1 u1) (*.f32 (PI.f32) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))))) 2))))))))))
(fma.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (*.f32 (/.f32 u2 (pow.f32 u1 3)) (*.f32 (PI.f32) (fma.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))))) 2)) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) 1/3))) (-.f32 (fma.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (*.f32 (/.f32 u2 (/.f32 u1 (PI.f32))) (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))))) (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (*.f32 (/.f32 u2 (*.f32 u1 u1)) (*.f32 (PI.f32) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))))) 2)))))))
(fma.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (*.f32 (/.f32 u2 (pow.f32 u1 3)) (*.f32 (PI.f32) (fma.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))))) 2)) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) 1/3))) (fma.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (-.f32 (*.f32 u2 (/.f32 (PI.f32) u1)) (*.f32 (*.f32 u2 (/.f32 (PI.f32) u1)) (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))))) 2)) u1))))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))
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(pow.f32 (E.f32) (log.f32 (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))))
(*.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2))))) 2)) (/.f32 (cbrt.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2))))) 2)) (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2))))) 2)) (/.f32 (cbrt.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2))))) 2)))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1)))))) 2)) (cbrt.f32 (log.f32 (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1)))))))
(/.f32 (-.f32 (*.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2))))) (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))))) 1) (+.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2))))) 1))
(/.f32 (*.f32 (+.f32 1 (exp.f32 (log1p.f32 (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))))) (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))) (+.f32 1 (exp.f32 (log1p.f32 (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))))))
(/.f32 (expm1.f32 (*.f32 2 (log1p.f32 (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))))) (+.f32 1 (exp.f32 (log1p.f32 (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))))))
(pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2))) 1)
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))) 2)
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))) 3)
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))
(pow.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2))) 3) 1/3)
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))))) (sqrt.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2))))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))))) (sqrt.f32 (log.f32 (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1)))))))
(pow.f32 (exp.f32 1) (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))))
(pow.f32 (E.f32) (log.f32 (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2))))) 2)) (cbrt.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2))))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1)))))) 2)) (cbrt.f32 (log.f32 (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1)))))))
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 2)))
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (*.f32 u2 (*.f32 2 (PI.f32))) 2)))
(log.f32 (pow.f32 (pow.f32 (pow.f32 (exp.f32 u2) 2) (PI.f32)) (sqrt.f32 (log1p.f32 u1))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (log.f32 (pow.f32 (pow.f32 (exp.f32 u2) 2) (PI.f32))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (log.f32 (pow.f32 (exp.f32 u2) 2))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (log.f32 (exp.f32 (+.f32 u2 u2)))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2))))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))
(cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2))) 3))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 3)))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (*.f32 u2 (*.f32 2 (PI.f32))) 3)))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 3)))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (*.f32 u2 (*.f32 2 (PI.f32))) 3)))
(expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))
(log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))
(+.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2))))) -1)
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2))))) 1)
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))
(/.f32 (-.f32 (*.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2))))) (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))))) 1) (+.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2))))) 1))
(/.f32 (*.f32 (+.f32 1 (exp.f32 (log1p.f32 (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))))) (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))) (+.f32 1 (exp.f32 (log1p.f32 (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))))))
(/.f32 (expm1.f32 (*.f32 2 (log1p.f32 (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))))) (+.f32 1 (exp.f32 (log1p.f32 (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))))))
(pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2))) 1)
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))) 2)
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))) 3)
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))
(pow.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2))) 3) 1/3)
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))))) (sqrt.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2))))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))))) (sqrt.f32 (log.f32 (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1)))))))
(pow.f32 (exp.f32 1) (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))))
(pow.f32 (E.f32) (log.f32 (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2))))) 2)) (cbrt.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2))))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1)))))) 2)) (cbrt.f32 (log.f32 (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1)))))))
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 2)))
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (*.f32 u2 (*.f32 2 (PI.f32))) 2)))
(log.f32 (pow.f32 (pow.f32 (pow.f32 (exp.f32 u2) 2) (PI.f32)) (sqrt.f32 (log1p.f32 u1))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (log.f32 (pow.f32 (pow.f32 (exp.f32 u2) 2) (PI.f32))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (log.f32 (pow.f32 (exp.f32 u2) 2))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (log.f32 (exp.f32 (+.f32 u2 u2)))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2))))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))
(cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2))) 3))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 3)))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (*.f32 u2 (*.f32 2 (PI.f32))) 3)))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 3)))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (*.f32 u2 (*.f32 2 (PI.f32))) 3)))
(expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))
(exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))
(log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))

localize79.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(expm1.f32 (*.f32 (PI.f32) (+.f32 (*.f32 2 u2) (*.f32 (*.f32 -2 (*.f32 u2 u2)) (PI.f32)))))
0.3b
(*.f32 (*.f32 -2 (*.f32 u2 u2)) (PI.f32))
0.3b
(*.f32 (PI.f32) (+.f32 (*.f32 2 u2) (*.f32 (*.f32 -2 (*.f32 u2 u2)) (PI.f32))))
0.4b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (*.f32 (PI.f32) (+.f32 (*.f32 2 u2) (*.f32 (*.f32 -2 (*.f32 u2 u2)) (PI.f32))))))
Compiler

Compiled 98 to 48 computations (51% saved)

series8.0ms (0.1%)

Counts
4 → 56
Calls

15 calls:

TimeVariablePointExpression
1.0ms
u1
@inf
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (*.f32 (PI.f32) (+.f32 (*.f32 2 u2) (*.f32 (*.f32 -2 (*.f32 u2 u2)) (PI.f32))))))
1.0ms
u1
@0
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (*.f32 (PI.f32) (+.f32 (*.f32 2 u2) (*.f32 (*.f32 -2 (*.f32 u2 u2)) (PI.f32))))))
1.0ms
u1
@-inf
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (*.f32 (PI.f32) (+.f32 (*.f32 2 u2) (*.f32 (*.f32 -2 (*.f32 u2 u2)) (PI.f32))))))
1.0ms
u2
@0
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (*.f32 (PI.f32) (+.f32 (*.f32 2 u2) (*.f32 (*.f32 -2 (*.f32 u2 u2)) (PI.f32))))))
1.0ms
u2
@inf
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (*.f32 (PI.f32) (+.f32 (*.f32 2 u2) (*.f32 (*.f32 -2 (*.f32 u2 u2)) (PI.f32))))))

rewrite107.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
820×associate-*r/
650×associate-*l/
442×add-sqr-sqrt
426×*-un-lft-identity
424×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
021162
1436154
25601154
Stop Event
node limit
Counts
4 → 124
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (*.f32 (PI.f32) (+.f32 (*.f32 2 u2) (*.f32 (*.f32 -2 (*.f32 u2 u2)) (PI.f32))))))
(*.f32 (PI.f32) (+.f32 (*.f32 2 u2) (*.f32 (*.f32 -2 (*.f32 u2 u2)) (PI.f32))))
(*.f32 (*.f32 -2 (*.f32 u2 u2)) (PI.f32))
(expm1.f32 (*.f32 (PI.f32) (+.f32 (*.f32 2 u2) (*.f32 (*.f32 -2 (*.f32 u2 u2)) (PI.f32)))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (expm1.f32 (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (-.f32 (*.f32 (pow.f32 (exp.f32 (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2))) (PI.f32)) (pow.f32 (exp.f32 (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2))) (PI.f32))) 1)) (+.f32 1 (pow.f32 (exp.f32 (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2))) (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (-.f32 (pow.f32 (pow.f32 (exp.f32 (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2))) (PI.f32)) 3) 1)) (+.f32 (*.f32 (pow.f32 (exp.f32 (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2))) (PI.f32)) (pow.f32 (exp.f32 (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2))) (PI.f32))) (+.f32 1 (*.f32 (pow.f32 (exp.f32 (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2))) (PI.f32)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 (*.f32 (pow.f32 (exp.f32 (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2))) (PI.f32)) (pow.f32 (exp.f32 (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2))) (PI.f32))) 1) (sqrt.f32 (log1p.f32 u1))) (+.f32 1 (pow.f32 (exp.f32 (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2))) (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 (pow.f32 (pow.f32 (exp.f32 (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2))) (PI.f32)) 3) 1) (sqrt.f32 (log1p.f32 u1))) (+.f32 (*.f32 (pow.f32 (exp.f32 (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2))) (PI.f32)) (pow.f32 (exp.f32 (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2))) (PI.f32))) (+.f32 1 (*.f32 (pow.f32 (exp.f32 (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2))) (PI.f32)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (expm1.f32 (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (expm1.f32 (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (expm1.f32 (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (expm1.f32 (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (expm1.f32 (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (expm1.f32 (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (expm1.f32 (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (expm1.f32 (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (expm1.f32 (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2)))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (expm1.f32 (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2)))) 3) (pow.f32 (log1p.f32 u1) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (expm1.f32 (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (expm1.f32 (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (expm1.f32 (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2)))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (expm1.f32 (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2)))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (*.f32 u2 (*.f32 u2 -2)) (pow.f32 (PI.f32) 2)) (*.f32 (PI.f32) (*.f32 2 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (PI.f32) (*.f32 2 u2)) (*.f32 (*.f32 u2 (*.f32 u2 -2)) (pow.f32 (PI.f32) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 1) (*.f32 (*.f32 (*.f32 u2 (*.f32 u2 -2)) (pow.f32 (PI.f32) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (*.f32 (*.f32 u2 (*.f32 u2 -2)) (pow.f32 (PI.f32) 2)) 1) (*.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (PI.f32) (/.f32 (+.f32 (*.f32 2 u2) (*.f32 2 (*.f32 (PI.f32) (*.f32 u2 u2)))) (-.f32 (pow.f32 (*.f32 2 u2) 2) (*.f32 (*.f32 (pow.f32 u2 4) 4) (pow.f32 (PI.f32) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (PI.f32) 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(*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2))) (PI.f32)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 (*.f32 (pow.f32 (exp.f32 (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2))) (PI.f32)) (pow.f32 (exp.f32 (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2))) (PI.f32))) 1) 1) (+.f32 1 (pow.f32 (exp.f32 (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2))) (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 (pow.f32 (pow.f32 (exp.f32 (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2))) (PI.f32)) 3) 1) 1) (+.f32 (*.f32 (pow.f32 (exp.f32 (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2))) (PI.f32)) (pow.f32 (exp.f32 (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2))) (PI.f32))) (+.f32 1 (*.f32 (pow.f32 (exp.f32 (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2))) (PI.f32)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (expm1.f32 (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (expm1.f32 (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (expm1.f32 (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (expm1.f32 (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (expm1.f32 (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (expm1.f32 (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (expm1.f32 (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (expm1.f32 (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (expm1.f32 (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (expm1.f32 (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (expm1.f32 (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2))))))))))

simplify161.0ms (1.1%)

Algorithm
egg-herbie
Rules
1808×associate-/r*
802×associate-*r*
788×associate-*r/
788×associate-*l*
616×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
045314224
1124813134
2569613134
Stop Event
node limit
Counts
180 → 229
Calls
Call 1
Inputs
(*.f32 (*.f32 (sqrt.f32 -1) (-.f32 (exp.f32 (*.f32 (+.f32 (*.f32 2 u2) (*.f32 -2 (*.f32 (pow.f32 u2 2) (PI.f32)))) (PI.f32))) 1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(+.f32 (*.f32 (*.f32 (sqrt.f32 -1) (-.f32 (exp.f32 (*.f32 (+.f32 (*.f32 2 u2) (*.f32 -2 (*.f32 (pow.f32 u2 2) (PI.f32)))) (PI.f32))) 1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))) (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (-.f32 (exp.f32 (*.f32 (+.f32 (*.f32 2 u2) (*.f32 -2 (*.f32 (pow.f32 u2 2) (PI.f32)))) (PI.f32))) 1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))
(+.f32 (*.f32 (*.f32 (sqrt.f32 -1) (-.f32 (exp.f32 (*.f32 (+.f32 (*.f32 2 u2) (*.f32 -2 (*.f32 (pow.f32 u2 2) (PI.f32)))) (PI.f32))) 1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (-.f32 (exp.f32 (*.f32 (+.f32 (*.f32 2 u2) (*.f32 -2 (*.f32 (pow.f32 u2 2) (PI.f32)))) (PI.f32))) 1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 (-.f32 (exp.f32 (*.f32 (+.f32 (*.f32 2 u2) (*.f32 -2 (*.f32 (pow.f32 u2 2) (PI.f32)))) (PI.f32))) 1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))))
(+.f32 (*.f32 (*.f32 (sqrt.f32 -1) (-.f32 (exp.f32 (*.f32 (+.f32 (*.f32 2 u2) (*.f32 -2 (*.f32 (pow.f32 u2 2) (PI.f32)))) (PI.f32))) 1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (-.f32 (exp.f32 (*.f32 (+.f32 (*.f32 2 u2) (*.f32 -2 (*.f32 (pow.f32 u2 2) (PI.f32)))) (PI.f32))) 1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 (-.f32 (exp.f32 (*.f32 (+.f32 (*.f32 2 u2) (*.f32 -2 (*.f32 (pow.f32 u2 2) (PI.f32)))) (PI.f32))) 1) (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 (-.f32 (exp.f32 (*.f32 (+.f32 (*.f32 2 u2) (*.f32 -2 (*.f32 (pow.f32 u2 2) (PI.f32)))) (PI.f32))) 1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))))
(*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (-.f32 (exp.f32 (*.f32 (+.f32 (*.f32 2 u2) (*.f32 -2 (*.f32 (pow.f32 u2 2) (PI.f32)))) (PI.f32))) 1)))
(+.f32 (*.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (-.f32 (exp.f32 (*.f32 (+.f32 (*.f32 2 u2) (*.f32 -2 (*.f32 (pow.f32 u2 2) (PI.f32)))) (PI.f32))) 1) u1))) (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (-.f32 (exp.f32 (*.f32 (+.f32 (*.f32 2 u2) (*.f32 -2 (*.f32 (pow.f32 u2 2) (PI.f32)))) (PI.f32))) 1))))
(+.f32 (*.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (-.f32 (exp.f32 (*.f32 (+.f32 (*.f32 2 u2) (*.f32 -2 (*.f32 (pow.f32 u2 2) (PI.f32)))) (PI.f32))) 1) u1))) (+.f32 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (-.f32 (exp.f32 (*.f32 (+.f32 (*.f32 2 u2) (*.f32 -2 (*.f32 (pow.f32 u2 2) (PI.f32)))) (PI.f32))) 1))) (*.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (*.f32 (-.f32 (exp.f32 (*.f32 (+.f32 (*.f32 2 u2) (*.f32 -2 (*.f32 (pow.f32 u2 2) (PI.f32)))) (PI.f32))) 1) (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2))) (pow.f32 u1 2))))))
(+.f32 (*.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (-.f32 (exp.f32 (*.f32 (+.f32 (*.f32 2 u2) (*.f32 -2 (*.f32 (pow.f32 u2 2) (PI.f32)))) (PI.f32))) 1) u1))) (+.f32 (*.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (*.f32 (-.f32 (exp.f32 (*.f32 (+.f32 (*.f32 2 u2) (*.f32 -2 (*.f32 (pow.f32 u2 2) (PI.f32)))) (PI.f32))) 1) (-.f32 1/3 (*.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 -1 u1))))))) (pow.f32 u1 3)))) (+.f32 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (-.f32 (exp.f32 (*.f32 (+.f32 (*.f32 2 u2) (*.f32 -2 (*.f32 (pow.f32 u2 2) (PI.f32)))) (PI.f32))) 1))) (*.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (*.f32 (-.f32 (exp.f32 (*.f32 (+.f32 (*.f32 2 u2) (*.f32 -2 (*.f32 (pow.f32 u2 2) (PI.f32)))) (PI.f32))) 1) (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2))) (pow.f32 u1 2)))))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(+.f32 (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (*.f32 (*.f32 (+.f32 (*.f32 2 (pow.f32 (PI.f32) 2)) (*.f32 -2 (pow.f32 (PI.f32) 2))) (*.f32 (sqrt.f32 -1) (pow.f32 u2 2))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(+.f32 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 3) (+.f32 (*.f32 -4 (pow.f32 (PI.f32) 3)) (*.f32 4/3 (pow.f32 (PI.f32) 3))))) (sqrt.f32 (log.f32 (-.f32 1 u1)))) (+.f32 (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (*.f32 (*.f32 (+.f32 (*.f32 2 (pow.f32 (PI.f32) 2)) (*.f32 -2 (pow.f32 (PI.f32) 2))) (*.f32 (sqrt.f32 -1) (pow.f32 u2 2))) (sqrt.f32 (log.f32 (-.f32 1 u1))))))
(+.f32 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 3) (+.f32 (*.f32 -4 (pow.f32 (PI.f32) 3)) (*.f32 4/3 (pow.f32 (PI.f32) 3))))) (sqrt.f32 (log.f32 (-.f32 1 u1)))) (+.f32 (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (*.f32 (*.f32 (+.f32 (*.f32 2 (pow.f32 (PI.f32) 2)) (*.f32 -2 (pow.f32 (PI.f32) 2))) (*.f32 (sqrt.f32 -1) (pow.f32 u2 2))) (sqrt.f32 (log.f32 (-.f32 1 u1)))) (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 4) (+.f32 (*.f32 2/3 (pow.f32 (PI.f32) 4)) (+.f32 (*.f32 -4 (pow.f32 (PI.f32) 4)) (*.f32 2 (pow.f32 (PI.f32) 4)))))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))))
(*.f32 (*.f32 (sqrt.f32 -1) (-.f32 (exp.f32 (*.f32 (+.f32 (*.f32 2 u2) (*.f32 -2 (*.f32 (pow.f32 u2 2) (PI.f32)))) (PI.f32))) 1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sqrt.f32 -1) (-.f32 (exp.f32 (*.f32 (+.f32 (*.f32 2 u2) (*.f32 -2 (*.f32 (pow.f32 u2 2) (PI.f32)))) (PI.f32))) 1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sqrt.f32 -1) (-.f32 (exp.f32 (*.f32 (+.f32 (*.f32 2 u2) (*.f32 -2 (*.f32 (pow.f32 u2 2) (PI.f32)))) (PI.f32))) 1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sqrt.f32 -1) (-.f32 (exp.f32 (*.f32 (+.f32 (*.f32 2 u2) (*.f32 -2 (*.f32 (pow.f32 u2 2) (PI.f32)))) (PI.f32))) 1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sqrt.f32 -1) (-.f32 (exp.f32 (*.f32 (-.f32 (*.f32 -2 (*.f32 (pow.f32 u2 2) (PI.f32))) (*.f32 -2 u2)) (PI.f32))) 1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sqrt.f32 -1) (-.f32 (exp.f32 (*.f32 (-.f32 (*.f32 -2 (*.f32 (pow.f32 u2 2) (PI.f32))) (*.f32 -2 u2)) (PI.f32))) 1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sqrt.f32 -1) (-.f32 (exp.f32 (*.f32 (-.f32 (*.f32 -2 (*.f32 (pow.f32 u2 2) (PI.f32))) (*.f32 -2 u2)) (PI.f32))) 1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sqrt.f32 -1) (-.f32 (exp.f32 (*.f32 (-.f32 (*.f32 -2 (*.f32 (pow.f32 u2 2) (PI.f32))) (*.f32 -2 u2)) (PI.f32))) 1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 2 (*.f32 u2 (PI.f32)))
(+.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (*.f32 -2 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(+.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (*.f32 -2 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(+.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (*.f32 -2 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(*.f32 -2 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))
(+.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (*.f32 -2 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(+.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (*.f32 -2 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(+.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (*.f32 -2 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(*.f32 -2 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))
(+.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (*.f32 -2 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(+.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (*.f32 -2 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(+.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (*.f32 -2 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(*.f32 -2 (*.f32 (pow.f32 u2 2) (PI.f32)))
(*.f32 -2 (*.f32 (pow.f32 u2 2) (PI.f32)))
(*.f32 -2 (*.f32 (pow.f32 u2 2) (PI.f32)))
(*.f32 -2 (*.f32 (pow.f32 u2 2) (PI.f32)))
(*.f32 -2 (*.f32 (pow.f32 u2 2) (PI.f32)))
(*.f32 -2 (*.f32 (pow.f32 u2 2) (PI.f32)))
(*.f32 -2 (*.f32 (pow.f32 u2 2) (PI.f32)))
(*.f32 -2 (*.f32 (pow.f32 u2 2) (PI.f32)))
(*.f32 -2 (*.f32 (pow.f32 u2 2) (PI.f32)))
(*.f32 -2 (*.f32 (pow.f32 u2 2) (PI.f32)))
(*.f32 -2 (*.f32 (pow.f32 u2 2) (PI.f32)))
(*.f32 -2 (*.f32 (pow.f32 u2 2) (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
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(/.f32 (*.f32 (-.f32 (*.f32 (*.f32 (PI.f32) (*.f32 2 u2)) (*.f32 (PI.f32) (*.f32 2 u2))) (*.f32 (*.f32 (*.f32 u2 (*.f32 u2 -2)) (pow.f32 (PI.f32) 2)) (*.f32 (*.f32 u2 (*.f32 u2 -2)) (pow.f32 (PI.f32) 2)))) 1) (-.f32 (*.f32 (PI.f32) (*.f32 2 u2)) (*.f32 (*.f32 u2 (*.f32 u2 -2)) (pow.f32 (PI.f32) 2))))
(/.f32 (*.f32 (+.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 3) (pow.f32 (*.f32 (*.f32 u2 (*.f32 u2 -2)) (pow.f32 (PI.f32) 2)) 3)) 1) (+.f32 (*.f32 (*.f32 (PI.f32) (*.f32 2 u2)) (*.f32 (PI.f32) (*.f32 2 u2))) (-.f32 (*.f32 (*.f32 (*.f32 u2 (*.f32 u2 -2)) (pow.f32 (PI.f32) 2)) (*.f32 (*.f32 u2 (*.f32 u2 -2)) (pow.f32 (PI.f32) 2))) (*.f32 (*.f32 (PI.f32) (*.f32 2 u2)) (*.f32 (*.f32 u2 (*.f32 u2 -2)) (pow.f32 (PI.f32) 2))))))
(/.f32 (*.f32 (sqrt.f32 (-.f32 (pow.f32 (*.f32 2 u2) 2) (*.f32 (*.f32 (pow.f32 u2 4) 4) (pow.f32 (PI.f32) 2)))) (*.f32 (sqrt.f32 (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2))) (PI.f32))) (sqrt.f32 (+.f32 (*.f32 2 u2) (*.f32 2 (*.f32 (PI.f32) (*.f32 u2 u2))))))
(/.f32 (*.f32 (sqrt.f32 (+.f32 (*.f32 (pow.f32 u2 3) 8) (*.f32 -8 (pow.f32 (*.f32 (PI.f32) (*.f32 u2 u2)) 3)))) (*.f32 (sqrt.f32 (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2))) (PI.f32))) (sqrt.f32 (+.f32 (pow.f32 (*.f32 2 u2) 2) (*.f32 (*.f32 -2 (*.f32 (PI.f32) (*.f32 u2 u2))) (-.f32 (*.f32 -2 (*.f32 (PI.f32) (*.f32 u2 u2))) (*.f32 2 u2))))))
(/.f32 (/.f32 (*.f32 (PI.f32) (-.f32 (pow.f32 (*.f32 2 u2) 2) (*.f32 (*.f32 (pow.f32 u2 4) 4) (pow.f32 (PI.f32) 2)))) 1) (+.f32 (*.f32 2 u2) (*.f32 2 (*.f32 (PI.f32) (*.f32 u2 u2)))))
(/.f32 (/.f32 (*.f32 (PI.f32) (-.f32 (pow.f32 (*.f32 2 u2) 2) (*.f32 (*.f32 (pow.f32 u2 4) 4) (pow.f32 (PI.f32) 2)))) (sqrt.f32 (+.f32 (*.f32 2 u2) (*.f32 2 (*.f32 (PI.f32) (*.f32 u2 u2)))))) (sqrt.f32 (+.f32 (*.f32 2 u2) (*.f32 2 (*.f32 (PI.f32) (*.f32 u2 u2))))))
(/.f32 (/.f32 (*.f32 (PI.f32) (-.f32 (pow.f32 (*.f32 2 u2) 2) (*.f32 (*.f32 (pow.f32 u2 4) 4) (pow.f32 (PI.f32) 2)))) (*.f32 (cbrt.f32 (+.f32 (*.f32 2 u2) (*.f32 2 (*.f32 (PI.f32) (*.f32 u2 u2))))) (cbrt.f32 (+.f32 (*.f32 2 u2) (*.f32 2 (*.f32 (PI.f32) (*.f32 u2 u2))))))) (cbrt.f32 (+.f32 (*.f32 2 u2) (*.f32 2 (*.f32 (PI.f32) (*.f32 u2 u2))))))
(/.f32 (/.f32 (*.f32 (PI.f32) (-.f32 (pow.f32 (*.f32 2 u2) 2) (*.f32 (*.f32 (pow.f32 u2 4) 4) (pow.f32 (PI.f32) 2)))) (+.f32 (*.f32 (*.f32 u2 (sqrt.f32 -2)) (sqrt.f32 (PI.f32))) (sqrt.f32 (*.f32 2 u2)))) (-.f32 (sqrt.f32 (*.f32 2 u2)) (*.f32 (*.f32 u2 (sqrt.f32 -2)) (sqrt.f32 (PI.f32)))))
(/.f32 (/.f32 (*.f32 (PI.f32) (+.f32 (*.f32 (pow.f32 u2 3) 8) (*.f32 -8 (pow.f32 (*.f32 (PI.f32) (*.f32 u2 u2)) 3)))) 1) (+.f32 (pow.f32 (*.f32 2 u2) 2) (*.f32 (*.f32 -2 (*.f32 (PI.f32) (*.f32 u2 u2))) (-.f32 (*.f32 -2 (*.f32 (PI.f32) (*.f32 u2 u2))) (*.f32 2 u2)))))
(/.f32 (/.f32 (*.f32 (PI.f32) (+.f32 (*.f32 (pow.f32 u2 3) 8) (*.f32 -8 (pow.f32 (*.f32 (PI.f32) (*.f32 u2 u2)) 3)))) (sqrt.f32 (+.f32 (pow.f32 (*.f32 2 u2) 2) (*.f32 (*.f32 -2 (*.f32 (PI.f32) (*.f32 u2 u2))) (-.f32 (*.f32 -2 (*.f32 (PI.f32) (*.f32 u2 u2))) (*.f32 2 u2)))))) (sqrt.f32 (+.f32 (pow.f32 (*.f32 2 u2) 2) (*.f32 (*.f32 -2 (*.f32 (PI.f32) (*.f32 u2 u2))) (-.f32 (*.f32 -2 (*.f32 (PI.f32) (*.f32 u2 u2))) (*.f32 2 u2))))))
(/.f32 (/.f32 (*.f32 (PI.f32) (+.f32 (*.f32 (pow.f32 u2 3) 8) (*.f32 -8 (pow.f32 (*.f32 (PI.f32) (*.f32 u2 u2)) 3)))) (*.f32 (cbrt.f32 (+.f32 (pow.f32 (*.f32 2 u2) 2) (*.f32 (*.f32 -2 (*.f32 (PI.f32) (*.f32 u2 u2))) (-.f32 (*.f32 -2 (*.f32 (PI.f32) (*.f32 u2 u2))) (*.f32 2 u2))))) (cbrt.f32 (+.f32 (pow.f32 (*.f32 2 u2) 2) (*.f32 (*.f32 -2 (*.f32 (PI.f32) (*.f32 u2 u2))) (-.f32 (*.f32 -2 (*.f32 (PI.f32) (*.f32 u2 u2))) (*.f32 2 u2))))))) (cbrt.f32 (+.f32 (pow.f32 (*.f32 2 u2) 2) (*.f32 (*.f32 -2 (*.f32 (PI.f32) (*.f32 u2 u2))) (-.f32 (*.f32 -2 (*.f32 (PI.f32) (*.f32 u2 u2))) (*.f32 2 u2))))))
(/.f32 (/.f32 (*.f32 (-.f32 (pow.f32 (*.f32 2 u2) 2) (*.f32 (*.f32 (pow.f32 u2 4) 4) (pow.f32 (PI.f32) 2))) (PI.f32)) 1) (+.f32 (*.f32 2 u2) (*.f32 2 (*.f32 (PI.f32) (*.f32 u2 u2)))))
(/.f32 (/.f32 (*.f32 (-.f32 (pow.f32 (*.f32 2 u2) 2) (*.f32 (*.f32 (pow.f32 u2 4) 4) (pow.f32 (PI.f32) 2))) (PI.f32)) (sqrt.f32 (+.f32 (*.f32 2 u2) (*.f32 2 (*.f32 (PI.f32) (*.f32 u2 u2)))))) (sqrt.f32 (+.f32 (*.f32 2 u2) (*.f32 2 (*.f32 (PI.f32) (*.f32 u2 u2))))))
(/.f32 (/.f32 (*.f32 (-.f32 (pow.f32 (*.f32 2 u2) 2) (*.f32 (*.f32 (pow.f32 u2 4) 4) (pow.f32 (PI.f32) 2))) (PI.f32)) (*.f32 (cbrt.f32 (+.f32 (*.f32 2 u2) (*.f32 2 (*.f32 (PI.f32) (*.f32 u2 u2))))) (cbrt.f32 (+.f32 (*.f32 2 u2) (*.f32 2 (*.f32 (PI.f32) (*.f32 u2 u2))))))) (cbrt.f32 (+.f32 (*.f32 2 u2) (*.f32 2 (*.f32 (PI.f32) (*.f32 u2 u2))))))
(/.f32 (/.f32 (*.f32 (-.f32 (pow.f32 (*.f32 2 u2) 2) (*.f32 (*.f32 (pow.f32 u2 4) 4) (pow.f32 (PI.f32) 2))) (PI.f32)) (+.f32 (*.f32 (*.f32 u2 (sqrt.f32 -2)) (sqrt.f32 (PI.f32))) (sqrt.f32 (*.f32 2 u2)))) (-.f32 (sqrt.f32 (*.f32 2 u2)) (*.f32 (*.f32 u2 (sqrt.f32 -2)) (sqrt.f32 (PI.f32)))))
(/.f32 (/.f32 (*.f32 (+.f32 (*.f32 (pow.f32 u2 3) 8) (*.f32 -8 (pow.f32 (*.f32 (PI.f32) (*.f32 u2 u2)) 3))) (PI.f32)) 1) (+.f32 (pow.f32 (*.f32 2 u2) 2) (*.f32 (*.f32 -2 (*.f32 (PI.f32) (*.f32 u2 u2))) (-.f32 (*.f32 -2 (*.f32 (PI.f32) (*.f32 u2 u2))) (*.f32 2 u2)))))
(/.f32 (/.f32 (*.f32 (+.f32 (*.f32 (pow.f32 u2 3) 8) (*.f32 -8 (pow.f32 (*.f32 (PI.f32) (*.f32 u2 u2)) 3))) (PI.f32)) (sqrt.f32 (+.f32 (pow.f32 (*.f32 2 u2) 2) (*.f32 (*.f32 -2 (*.f32 (PI.f32) (*.f32 u2 u2))) (-.f32 (*.f32 -2 (*.f32 (PI.f32) (*.f32 u2 u2))) (*.f32 2 u2)))))) (sqrt.f32 (+.f32 (pow.f32 (*.f32 2 u2) 2) (*.f32 (*.f32 -2 (*.f32 (PI.f32) (*.f32 u2 u2))) (-.f32 (*.f32 -2 (*.f32 (PI.f32) (*.f32 u2 u2))) (*.f32 2 u2))))))
(/.f32 (/.f32 (*.f32 (+.f32 (*.f32 (pow.f32 u2 3) 8) (*.f32 -8 (pow.f32 (*.f32 (PI.f32) (*.f32 u2 u2)) 3))) (PI.f32)) (*.f32 (cbrt.f32 (+.f32 (pow.f32 (*.f32 2 u2) 2) (*.f32 (*.f32 -2 (*.f32 (PI.f32) (*.f32 u2 u2))) (-.f32 (*.f32 -2 (*.f32 (PI.f32) (*.f32 u2 u2))) (*.f32 2 u2))))) (cbrt.f32 (+.f32 (pow.f32 (*.f32 2 u2) 2) (*.f32 (*.f32 -2 (*.f32 (PI.f32) (*.f32 u2 u2))) (-.f32 (*.f32 -2 (*.f32 (PI.f32) (*.f32 u2 u2))) (*.f32 2 u2))))))) (cbrt.f32 (+.f32 (pow.f32 (*.f32 2 u2) 2) (*.f32 (*.f32 -2 (*.f32 (PI.f32) (*.f32 u2 u2))) (-.f32 (*.f32 -2 (*.f32 (PI.f32) (*.f32 u2 u2))) (*.f32 2 u2))))))
(pow.f32 (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2))) 1)
(pow.f32 (sqrt.f32 (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2)))) 2)
(pow.f32 (cbrt.f32 (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2)))) 3)
(pow.f32 (pow.f32 (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2))) 3) 1/3)
(sqrt.f32 (pow.f32 (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2))) 2))
(log.f32 (pow.f32 (exp.f32 (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2))) (PI.f32)))
(log.f32 (+.f32 (expm1.f32 (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2)))) 1))
(cbrt.f32 (pow.f32 (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2))) 3))
(cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2)) 3)))
(cbrt.f32 (*.f32 (pow.f32 (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2)) 3) (pow.f32 (PI.f32) 3)))
(expm1.f32 (log1p.f32 (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2)))))
(exp.f32 (log.f32 (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2)))))
(exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2)))) 1))
(log1p.f32 (expm1.f32 (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2)))))
(fma.f32 (PI.f32) (*.f32 2 u2) (*.f32 (*.f32 u2 (*.f32 u2 -2)) (pow.f32 (PI.f32) 2)))
(fma.f32 (*.f32 2 u2) (PI.f32) (*.f32 (*.f32 u2 (*.f32 u2 -2)) (pow.f32 (PI.f32) 2)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 -2 (*.f32 (PI.f32) (*.f32 u2 u2))))) 1)
(pow.f32 (*.f32 -2 (*.f32 (PI.f32) (*.f32 u2 u2))) 1)
(pow.f32 (*.f32 (*.f32 u2 (sqrt.f32 -2)) (sqrt.f32 (PI.f32))) 2)
(pow.f32 (cbrt.f32 (*.f32 -2 (*.f32 (PI.f32) (*.f32 u2 u2)))) 3)
(pow.f32 (*.f32 -8 (pow.f32 (*.f32 (PI.f32) (*.f32 u2 u2)) 3)) 1/3)
(sqrt.f32 (*.f32 (*.f32 (pow.f32 u2 4) 4) (pow.f32 (PI.f32) 2)))
(log.f32 (pow.f32 (exp.f32 -2) (*.f32 (PI.f32) (*.f32 u2 u2))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 -2 (*.f32 (PI.f32) (*.f32 u2 u2))))))
(cbrt.f32 (*.f32 -8 (pow.f32 (*.f32 (PI.f32) (*.f32 u2 u2)) 3)))
(expm1.f32 (log1p.f32 (*.f32 -2 (*.f32 (PI.f32) (*.f32 u2 u2)))))
(exp.f32 (log.f32 (*.f32 -2 (*.f32 (PI.f32) (*.f32 u2 u2)))))
(exp.f32 (*.f32 (log.f32 (*.f32 -2 (*.f32 (PI.f32) (*.f32 u2 u2)))) 1))
(log1p.f32 (expm1.f32 (*.f32 -2 (*.f32 (PI.f32) (*.f32 u2 u2)))))
(+.f32 (pow.f32 (exp.f32 (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2))) (PI.f32)) -1)
(+.f32 -1 (pow.f32 (exp.f32 (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2))) (PI.f32)))
(-.f32 (pow.f32 (exp.f32 (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2))) (PI.f32)) 1)
(*.f32 (expm1.f32 (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2)))) 1)
(*.f32 1 (expm1.f32 (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2)))))
(*.f32 (sqrt.f32 (expm1.f32 (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2))))) (sqrt.f32 (expm1.f32 (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2))))))
(*.f32 (cbrt.f32 (expm1.f32 (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2))))) (pow.f32 (cbrt.f32 (expm1.f32 (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2))))) 2))
(*.f32 (pow.f32 (cbrt.f32 (expm1.f32 (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2))))) 2) (cbrt.f32 (expm1.f32 (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2))))))
(/.f32 (-.f32 (*.f32 (pow.f32 (exp.f32 (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2))) (PI.f32)) (pow.f32 (exp.f32 (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2))) (PI.f32))) 1) (+.f32 1 (pow.f32 (exp.f32 (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2))) (PI.f32))))
(/.f32 (-.f32 (pow.f32 (pow.f32 (exp.f32 (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2))) (PI.f32)) 3) 1) (+.f32 (*.f32 (pow.f32 (exp.f32 (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2))) (PI.f32)) (pow.f32 (exp.f32 (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2))) (PI.f32))) (+.f32 1 (*.f32 (pow.f32 (exp.f32 (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2))) (PI.f32)) 1))))
(/.f32 (*.f32 1 (-.f32 (*.f32 (pow.f32 (exp.f32 (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2))) (PI.f32)) (pow.f32 (exp.f32 (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2))) (PI.f32))) 1)) (+.f32 1 (pow.f32 (exp.f32 (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2))) (PI.f32))))
(/.f32 (*.f32 1 (-.f32 (pow.f32 (pow.f32 (exp.f32 (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2))) (PI.f32)) 3) 1)) (+.f32 (*.f32 (pow.f32 (exp.f32 (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2))) (PI.f32)) (pow.f32 (exp.f32 (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2))) (PI.f32))) (+.f32 1 (*.f32 (pow.f32 (exp.f32 (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2))) (PI.f32)) 1))))
(/.f32 (*.f32 (-.f32 (*.f32 (pow.f32 (exp.f32 (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2))) (PI.f32)) (pow.f32 (exp.f32 (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2))) (PI.f32))) 1) 1) (+.f32 1 (pow.f32 (exp.f32 (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2))) (PI.f32))))
(/.f32 (*.f32 (-.f32 (pow.f32 (pow.f32 (exp.f32 (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2))) (PI.f32)) 3) 1) 1) (+.f32 (*.f32 (pow.f32 (exp.f32 (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2))) (PI.f32)) (pow.f32 (exp.f32 (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2))) (PI.f32))) (+.f32 1 (*.f32 (pow.f32 (exp.f32 (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2))) (PI.f32)) 1))))
(pow.f32 (expm1.f32 (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2)))) 1)
(pow.f32 (sqrt.f32 (expm1.f32 (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2))))) 2)
(pow.f32 (cbrt.f32 (expm1.f32 (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2))))) 3)
(pow.f32 (pow.f32 (expm1.f32 (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2)))) 3) 1/3)
(sqrt.f32 (pow.f32 (expm1.f32 (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2)))) 2))
(log.f32 (exp.f32 (expm1.f32 (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2))))))
(log.f32 (+.f32 1 (expm1.f32 (expm1.f32 (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2)))))))
(cbrt.f32 (pow.f32 (expm1.f32 (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2)))) 3))
(exp.f32 (log.f32 (expm1.f32 (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2))))))
(exp.f32 (*.f32 (log.f32 (expm1.f32 (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2))))) 1))
(log1p.f32 (expm1.f32 (expm1.f32 (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2))))))
Outputs
(*.f32 (*.f32 (sqrt.f32 -1) (-.f32 (exp.f32 (*.f32 (+.f32 (*.f32 2 u2) (*.f32 -2 (*.f32 (pow.f32 u2 2) (PI.f32)))) (PI.f32))) 1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(*.f32 (sqrt.f32 -1) (*.f32 (expm1.f32 (*.f32 (PI.f32) (*.f32 -2 (-.f32 (*.f32 (*.f32 u2 u2) (PI.f32)) u2)))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))
(*.f32 (sqrt.f32 -1) (*.f32 (expm1.f32 (*.f32 (*.f32 -2 (PI.f32)) (fma.f32 (*.f32 u2 u2) (PI.f32) (neg.f32 u2)))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))
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(expm1.f32 (*.f32 (PI.f32) (*.f32 -2 (-.f32 (*.f32 (*.f32 u2 u2) (PI.f32)) u2))))
(expm1.f32 (*.f32 (*.f32 -2 (PI.f32)) (fma.f32 (*.f32 u2 u2) (PI.f32) (neg.f32 u2))))
(pow.f32 (pow.f32 (expm1.f32 (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2)))) 3) 1/3)
(expm1.f32 (*.f32 (PI.f32) (*.f32 -2 (-.f32 (*.f32 (*.f32 u2 u2) (PI.f32)) u2))))
(expm1.f32 (*.f32 (*.f32 -2 (PI.f32)) (fma.f32 (*.f32 u2 u2) (PI.f32) (neg.f32 u2))))
(sqrt.f32 (pow.f32 (expm1.f32 (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2)))) 2))
(fabs.f32 (expm1.f32 (*.f32 (*.f32 -2 (PI.f32)) (fma.f32 (*.f32 u2 u2) (PI.f32) (neg.f32 u2)))))
(log.f32 (exp.f32 (expm1.f32 (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2))))))
(expm1.f32 (*.f32 (PI.f32) (*.f32 -2 (-.f32 (*.f32 (*.f32 u2 u2) (PI.f32)) u2))))
(expm1.f32 (*.f32 (*.f32 -2 (PI.f32)) (fma.f32 (*.f32 u2 u2) (PI.f32) (neg.f32 u2))))
(log.f32 (+.f32 1 (expm1.f32 (expm1.f32 (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2)))))))
(expm1.f32 (*.f32 (PI.f32) (*.f32 -2 (-.f32 (*.f32 (*.f32 u2 u2) (PI.f32)) u2))))
(expm1.f32 (*.f32 (*.f32 -2 (PI.f32)) (fma.f32 (*.f32 u2 u2) (PI.f32) (neg.f32 u2))))
(cbrt.f32 (pow.f32 (expm1.f32 (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2)))) 3))
(expm1.f32 (*.f32 (PI.f32) (*.f32 -2 (-.f32 (*.f32 (*.f32 u2 u2) (PI.f32)) u2))))
(expm1.f32 (*.f32 (*.f32 -2 (PI.f32)) (fma.f32 (*.f32 u2 u2) (PI.f32) (neg.f32 u2))))
(exp.f32 (log.f32 (expm1.f32 (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2))))))
(expm1.f32 (*.f32 (PI.f32) (*.f32 -2 (-.f32 (*.f32 (*.f32 u2 u2) (PI.f32)) u2))))
(expm1.f32 (*.f32 (*.f32 -2 (PI.f32)) (fma.f32 (*.f32 u2 u2) (PI.f32) (neg.f32 u2))))
(exp.f32 (*.f32 (log.f32 (expm1.f32 (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2))))) 1))
(expm1.f32 (*.f32 (PI.f32) (*.f32 -2 (-.f32 (*.f32 (*.f32 u2 u2) (PI.f32)) u2))))
(expm1.f32 (*.f32 (*.f32 -2 (PI.f32)) (fma.f32 (*.f32 u2 u2) (PI.f32) (neg.f32 u2))))
(log1p.f32 (expm1.f32 (expm1.f32 (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 u2 (*.f32 u2 -2)) (*.f32 2 u2))))))
(expm1.f32 (*.f32 (PI.f32) (*.f32 -2 (-.f32 (*.f32 (*.f32 u2 u2) (PI.f32)) u2))))
(expm1.f32 (*.f32 (*.f32 -2 (PI.f32)) (fma.f32 (*.f32 u2 u2) (PI.f32) (neg.f32 u2))))

localize76.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.4b
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (*.f32 (*.f32 (*.f32 2 (PI.f32)) (sqrt.f32 u2)) (sqrt.f32 u2))))
0.4b
(*.f32 (*.f32 (*.f32 2 (PI.f32)) (sqrt.f32 u2)) (sqrt.f32 u2))
0.4b
(*.f32 (*.f32 2 (PI.f32)) (sqrt.f32 u2))
14.0b
(log.f32 (-.f32 1 u1))
Compiler

Compiled 73 to 46 computations (37% saved)

series4.0ms (0%)

Counts
3 → 32
Calls

12 calls:

TimeVariablePointExpression
1.0ms
u2
@-inf
(*.f32 (*.f32 (*.f32 2 (PI.f32)) (sqrt.f32 u2)) (sqrt.f32 u2))
1.0ms
u2
@-inf
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (*.f32 (*.f32 (*.f32 2 (PI.f32)) (sqrt.f32 u2)) (sqrt.f32 u2))))
1.0ms
u2
@0
(*.f32 (*.f32 2 (PI.f32)) (sqrt.f32 u2))
1.0ms
u2
@-inf
(*.f32 (*.f32 2 (PI.f32)) (sqrt.f32 u2))
0.0ms
u1
@inf
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (*.f32 (*.f32 (*.f32 2 (PI.f32)) (sqrt.f32 u2)) (sqrt.f32 u2))))

rewrite215.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
580×distribute-rgt-in
516×associate-*r/
514×distribute-lft-in
424×associate-*l/
378×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01977
137871
2458371
Stop Event
node limit
Counts
3 → 46
Calls
Call 1
Inputs
(*.f32 (*.f32 2 (PI.f32)) (sqrt.f32 u2))
(*.f32 (*.f32 (*.f32 2 (PI.f32)) (sqrt.f32 u2)) (sqrt.f32 u2))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (*.f32 (*.f32 (*.f32 2 (PI.f32)) (sqrt.f32 u2)) (sqrt.f32 u2))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 2 (sqrt.f32 u2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (PI.f32) (*.f32 2 (sqrt.f32 u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 2 (sqrt.f32 u2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 2 (sqrt.f32 u2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 2 (sqrt.f32 u2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 u2 (*.f32 4 (pow.f32 (PI.f32) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (*.f32 (PI.f32) (*.f32 2 (sqrt.f32 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (PI.f32) (*.f32 2 (sqrt.f32 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 2 (sqrt.f32 u2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (*.f32 2 (PI.f32)) 3) (pow.f32 u2 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 u2 3/2) (pow.f32 (*.f32 2 (PI.f32)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 2 (sqrt.f32 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (PI.f32) (*.f32 2 (sqrt.f32 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) (*.f32 2 (sqrt.f32 u2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (PI.f32) (*.f32 2 (sqrt.f32 u2)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 2 (*.f32 (PI.f32) u2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 2 (*.f32 (PI.f32) u2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (*.f32 2 (*.f32 (PI.f32) u2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (pow.f32 (exp.f32 2) (PI.f32)) u2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 2 (*.f32 (PI.f32) u2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (*.f32 2 (PI.f32)) 3) (pow.f32 u2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 u2 3/2) (pow.f32 (*.f32 (PI.f32) (*.f32 2 (sqrt.f32 u2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 2 (sqrt.f32 u2))) 3) (pow.f32 u2 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (log1p.f32 (neg.f32 u1)) (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 3/2) (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3) (pow.f32 (log1p.f32 (neg.f32 u1)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))))))

simplify105.0ms (0.7%)

Algorithm
egg-herbie
Rules
1460×unswap-sqr
1130×fma-def
586×times-frac
542×associate-/l*
534×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02384052
16433694
224253470
Stop Event
node limit
Counts
78 → 114
Calls
Call 1
Inputs
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 -2 (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 u2 (PI.f32))))
(*.f32 -2 (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 u2 (PI.f32))))
(*.f32 -2 (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 u2 (PI.f32))))
(*.f32 -2 (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (-.f32 1/3 (*.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 -1 u1))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(+.f32 (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (*.f32 -4/3 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1))))))
(+.f32 (*.f32 4/15 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (*.f32 -4/3 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))))
(+.f32 (*.f32 4/15 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (*.f32 -4/3 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (*.f32 -8/315 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (sqrt.f32 (log.f32 (-.f32 1 u1))))))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 -2 (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 u2 (PI.f32)))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 -2 (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 u2 (PI.f32)))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 -2 (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 u2 (PI.f32)))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 -2 (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 u2 (PI.f32)))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 2 (sqrt.f32 u2))))) 1)
(pow.f32 (*.f32 (PI.f32) (*.f32 2 (sqrt.f32 u2))) 1)
(pow.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 2 (sqrt.f32 u2)))) 2)
(pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 2 (sqrt.f32 u2)))) 3)
(pow.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 2 (sqrt.f32 u2))) 3) 1/3)
(sqrt.f32 (*.f32 u2 (*.f32 4 (pow.f32 (PI.f32) 2))))
(log.f32 (exp.f32 (*.f32 (PI.f32) (*.f32 2 (sqrt.f32 u2)))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (PI.f32) (*.f32 2 (sqrt.f32 u2))))))
(cbrt.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 2 (sqrt.f32 u2))) 3))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 2 (PI.f32)) 3) (pow.f32 u2 3/2)))
(cbrt.f32 (*.f32 (pow.f32 u2 3/2) (pow.f32 (*.f32 2 (PI.f32)) 3)))
(expm1.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 2 (sqrt.f32 u2)))))
(exp.f32 (log.f32 (*.f32 (PI.f32) (*.f32 2 (sqrt.f32 u2)))))
(exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) (*.f32 2 (sqrt.f32 u2)))) 1))
(log1p.f32 (expm1.f32 (*.f32 (PI.f32) (*.f32 2 (sqrt.f32 u2)))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 1)
(pow.f32 (*.f32 2 (*.f32 (PI.f32) u2)) 1)
(pow.f32 (sqrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2)
(pow.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)
(pow.f32 (pow.f32 (*.f32 2 (*.f32 (PI.f32) u2)) 3) 1/3)
(sqrt.f32 (pow.f32 (*.f32 2 (*.f32 (PI.f32) u2)) 2))
(log.f32 (pow.f32 (pow.f32 (exp.f32 2) (PI.f32)) u2))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(cbrt.f32 (pow.f32 (*.f32 2 (*.f32 (PI.f32) u2)) 3))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 2 (PI.f32)) 3) (pow.f32 u2 3)))
(cbrt.f32 (*.f32 (pow.f32 u2 3/2) (pow.f32 (*.f32 (PI.f32) (*.f32 2 (sqrt.f32 u2))) 3)))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 2 (sqrt.f32 u2))) 3) (pow.f32 u2 3/2)))
(expm1.f32 (log1p.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(exp.f32 (log.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(exp.f32 (*.f32 (log.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1))
(log1p.f32 (expm1.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))) 1)
(pow.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 1)
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2)
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 3)
(pow.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3) 1/3)
(sqrt.f32 (*.f32 (log1p.f32 (neg.f32 u1)) (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2)))
(log.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))
(cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 3/2) (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)))
(cbrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3) (pow.f32 (log1p.f32 (neg.f32 u1)) 3/2)))
(expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 1))
(log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
Outputs
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 (PI.f32) (*.f32 2 u2))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 (PI.f32) (*.f32 2 u2))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 (PI.f32) (*.f32 2 u2))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 (PI.f32) (*.f32 2 u2))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 (PI.f32) (*.f32 2 u2))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 (PI.f32) (*.f32 2 u2))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 (PI.f32) (*.f32 2 u2))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 (PI.f32) (*.f32 2 u2))
(*.f32 -2 (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 u2 (PI.f32))))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 (PI.f32) (*.f32 2 u2))
(*.f32 -2 (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 u2 (PI.f32))))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 (PI.f32) (*.f32 2 u2))
(*.f32 -2 (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 u2 (PI.f32))))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 (PI.f32) (*.f32 2 u2))
(*.f32 -2 (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 u2 (PI.f32))))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 (PI.f32) (*.f32 2 u2))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))
(*.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(fma.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 u1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))
(fma.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (*.f32 -1/2 (*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) u1) (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))))
(fma.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) u1) (sqrt.f32 -1)) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))
(fma.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 u1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 (*.f32 u1 u1) (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2)))))) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))))
(+.f32 (*.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) u1) (sqrt.f32 -1))) (*.f32 -1/2 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) (/.f32 (*.f32 u1 u1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2))))))))
(fma.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (*.f32 -1/2 (+.f32 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 -1)) (*.f32 (/.f32 (sqrt.f32 -1) u1) (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (fma.f32 1/4 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))) 1/2)) u1)))) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))
(fma.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 u1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 (*.f32 u1 u1) (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2)))))) (fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 (pow.f32 u1 3) (*.f32 (sqrt.f32 -1) (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2)) (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))))) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))))
(+.f32 (fma.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (*.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (pow.f32 u1 3)) (*.f32 (sqrt.f32 -1) (fma.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2)) (+.f32 (log.f32 -1) (log.f32 u1))) 1/3)))))) (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) u1) (sqrt.f32 -1))) (*.f32 -1/2 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) (/.f32 (*.f32 u1 u1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2))))))))
(+.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))) (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (*.f32 -1/2 (+.f32 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 -1)) (*.f32 (/.f32 (sqrt.f32 -1) u1) (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (fma.f32 1/4 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))) 1/2)) u1)))) (*.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 (pow.f32 u1 3) (sqrt.f32 -1))) (fma.f32 1/2 (/.f32 (fma.f32 1/4 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))) 1/2) (+.f32 (log.f32 -1) (log.f32 u1))) 1/3))))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
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(*.f32 (PI.f32) (*.f32 2 (sqrt.f32 u2)))
(*.f32 2 (*.f32 (PI.f32) (sqrt.f32 u2)))
(sqrt.f32 (*.f32 u2 (*.f32 4 (pow.f32 (PI.f32) 2))))
(sqrt.f32 (*.f32 4 (*.f32 (pow.f32 (PI.f32) 2) u2)))
(log.f32 (exp.f32 (*.f32 (PI.f32) (*.f32 2 (sqrt.f32 u2)))))
(*.f32 (PI.f32) (*.f32 2 (sqrt.f32 u2)))
(*.f32 2 (*.f32 (PI.f32) (sqrt.f32 u2)))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (PI.f32) (*.f32 2 (sqrt.f32 u2))))))
(*.f32 (PI.f32) (*.f32 2 (sqrt.f32 u2)))
(*.f32 2 (*.f32 (PI.f32) (sqrt.f32 u2)))
(cbrt.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 2 (sqrt.f32 u2))) 3))
(*.f32 (PI.f32) (*.f32 2 (sqrt.f32 u2)))
(*.f32 2 (*.f32 (PI.f32) (sqrt.f32 u2)))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 2 (PI.f32)) 3) (pow.f32 u2 3/2)))
(cbrt.f32 (*.f32 (*.f32 8 (pow.f32 (PI.f32) 3)) (pow.f32 u2 3/2)))
(cbrt.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) 3) 8) (pow.f32 u2 3/2)))
(cbrt.f32 (*.f32 (pow.f32 u2 3/2) (pow.f32 (*.f32 2 (PI.f32)) 3)))
(cbrt.f32 (*.f32 (*.f32 8 (pow.f32 (PI.f32) 3)) (pow.f32 u2 3/2)))
(cbrt.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) 3) 8) (pow.f32 u2 3/2)))
(expm1.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 2 (sqrt.f32 u2)))))
(*.f32 (PI.f32) (*.f32 2 (sqrt.f32 u2)))
(*.f32 2 (*.f32 (PI.f32) (sqrt.f32 u2)))
(exp.f32 (log.f32 (*.f32 (PI.f32) (*.f32 2 (sqrt.f32 u2)))))
(*.f32 (PI.f32) (*.f32 2 (sqrt.f32 u2)))
(*.f32 2 (*.f32 (PI.f32) (sqrt.f32 u2)))
(exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) (*.f32 2 (sqrt.f32 u2)))) 1))
(*.f32 (PI.f32) (*.f32 2 (sqrt.f32 u2)))
(*.f32 2 (*.f32 (PI.f32) (sqrt.f32 u2)))
(log1p.f32 (expm1.f32 (*.f32 (PI.f32) (*.f32 2 (sqrt.f32 u2)))))
(*.f32 (PI.f32) (*.f32 2 (sqrt.f32 u2)))
(*.f32 2 (*.f32 (PI.f32) (sqrt.f32 u2)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 1)
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 (PI.f32) (*.f32 2 u2))
(pow.f32 (*.f32 2 (*.f32 (PI.f32) u2)) 1)
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 (PI.f32) (*.f32 2 u2))
(pow.f32 (sqrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2)
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 (PI.f32) (*.f32 2 u2))
(pow.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 (PI.f32) (*.f32 2 u2))
(pow.f32 (pow.f32 (*.f32 2 (*.f32 (PI.f32) u2)) 3) 1/3)
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 (PI.f32) (*.f32 2 u2))
(sqrt.f32 (pow.f32 (*.f32 2 (*.f32 (PI.f32) u2)) 2))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 (PI.f32) (*.f32 2 u2))
(log.f32 (pow.f32 (pow.f32 (exp.f32 2) (PI.f32)) u2))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 (PI.f32) (*.f32 2 u2))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 (PI.f32) (*.f32 2 u2))
(cbrt.f32 (pow.f32 (*.f32 2 (*.f32 (PI.f32) u2)) 3))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 (PI.f32) (*.f32 2 u2))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 2 (PI.f32)) 3) (pow.f32 u2 3)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 (PI.f32) (*.f32 2 u2))
(cbrt.f32 (*.f32 (pow.f32 u2 3/2) (pow.f32 (*.f32 (PI.f32) (*.f32 2 (sqrt.f32 u2))) 3)))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 2 (sqrt.f32 u2))) 3) (pow.f32 u2 3/2)))
(cbrt.f32 (*.f32 (*.f32 8 (pow.f32 (*.f32 (sqrt.f32 u2) (PI.f32)) 3)) (pow.f32 u2 3/2)))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 2 (sqrt.f32 u2))) 3) (pow.f32 u2 3/2)))
(cbrt.f32 (*.f32 (*.f32 8 (pow.f32 (*.f32 (sqrt.f32 u2) (PI.f32)) 3)) (pow.f32 u2 3/2)))
(expm1.f32 (log1p.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 (PI.f32) (*.f32 2 u2))
(exp.f32 (log.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 (PI.f32) (*.f32 2 u2))
(exp.f32 (*.f32 (log.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 (PI.f32) (*.f32 2 u2))
(log1p.f32 (expm1.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 (PI.f32) (*.f32 2 u2))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))) 1)
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(pow.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 1)
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2)
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 3)
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(pow.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3) 1/3)
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(sqrt.f32 (*.f32 (log1p.f32 (neg.f32 u1)) (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2)))
(sqrt.f32 (*.f32 (log1p.f32 (neg.f32 u1)) (pow.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2)))
(sqrt.f32 (*.f32 (log1p.f32 (neg.f32 u1)) (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 2)))
(log.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 3/2) (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 3/2) (pow.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 3)))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 3/2) (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 3)))
(cbrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3) (pow.f32 (log1p.f32 (neg.f32 u1)) 3/2)))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 3/2) (pow.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 3)))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 3/2) (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 3)))
(expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 1))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))

eval857.0ms (5.7%)

Compiler

Compiled 37124 to 24506 computations (34% saved)

prune469.0ms (3.1%)

Pruning

61 alts after pruning (53 fresh and 8 done)

PrunedKeptTotal
New1080131093
Fresh94049
Picked011
Done279
Total1091611152
Error
0.0b
Counts
1152 → 61
Alt Table
Click to see full alt table
StatusErrorProgram
11.7b
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))) 2)
9.2b
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2)
8.3b
(/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (log1p.f32 u1)) (sqrt.f32 (log1p.f32 u1)))
8.3b
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
11.6b
(*.f32 (pow.f32 (log1p.f32 u1) 1/2) (*.f32 2 (*.f32 u2 (PI.f32))))
8.4b
(*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
4.8b
(*.f32 (/.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (+.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (pow.f32 u1 3))))) (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) 2) (pow.f32 (log1p.f32 (pow.f32 u1 3)) 2))))
11.6b
(*.f32 (*.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (PI.f32)) u2) 2)
6.2b
(*.f32 (*.f32 (PI.f32) (*.f32 2 u2)) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (neg.f32 (pow.f32 u1 3))))))
11.6b
(*.f32 (*.f32 (PI.f32) (*.f32 2 u2)) (sqrt.f32 (log1p.f32 u1)))
6.2b
(*.f32 (*.f32 u2 (PI.f32)) (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))) 2))
0.9b
(*.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (sin.f32 (pow.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)))
0.7b
(*.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
8.3b
(*.f32 (sqrt.f32 (neg.f32 (/.f32 -1 (/.f32 1 (log1p.f32 u1))))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
2.3b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3)))) u1))) (sin.f32 (pow.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)))
2.9b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1))) (sin.f32 (pow.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)))
2.8b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1))) (sin.f32 (*.f32 (*.f32 (*.f32 2 (PI.f32)) (sqrt.f32 u2)) (sqrt.f32 u2))))
2.6b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
4.2b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 -1/2 u1) u1) u1))) (sin.f32 (pow.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)))
4.1b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 -1/2 u1) u1) u1))) (sin.f32 (*.f32 (*.f32 (*.f32 2 (PI.f32)) (sqrt.f32 u2)) (sqrt.f32 u2))))
3.9b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 -1/2 u1) u1) u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
3.1b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 1 (*.f32 u1 u1))) (log1p.f32 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
13.9b
(*.f32 (sqrt.f32 (neg.f32 (*.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
7.8b
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (sin.f32 (pow.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)))
7.7b
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (sin.f32 (*.f32 (*.f32 (*.f32 2 (PI.f32)) (sqrt.f32 u2)) (sqrt.f32 u2))))
7.6b
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
2.8b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3) 1/3))
1.7b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2))
13.1b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (*.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1)) 1) (+.f32 2 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
13.0b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) 1))
12.1b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1 (-.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1)))
6.3b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (pow.f32 (sqrt.f32 (*.f32 u2 (PI.f32))) 2)))
6.5b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 3)))
6.2b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (*.f32 u2 (PI.f32))))
7.1b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (exp.f32 (log.f32 (*.f32 u2 (PI.f32))))))
0.9b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (pow.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)))
0.7b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2))))
0.5b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
0.5b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))
0.5b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
13.0b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
1.7b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (pow.f32 (sqrt.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2)))
6.2b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (*.f32 (PI.f32) (*.f32 -2 (-.f32 (*.f32 (*.f32 u2 u2) (PI.f32)) u2)))))
0.6b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
13.3b
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (pow.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)))
13.3b
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (*.f32 (*.f32 (*.f32 2 (PI.f32)) (sqrt.f32 u2)) (sqrt.f32 u2))))
13.3b
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
13.3b
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (*.f32 (exp.f32 (log.f32 (*.f32 (PI.f32) (*.f32 2 (sqrt.f32 u2))))) (sqrt.f32 u2))))
0.6b
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (-.f32 (pow.f32 (cbrt.f32 (log1p.f32 (fma.f32 u1 u1 u1))) 3) (log1p.f32 (neg.f32 (pow.f32 u1 3))))))
2.5b
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (-.f32 (+.f32 (*.f32 1/2 (pow.f32 u1 2)) (+.f32 (*.f32 -2/3 (pow.f32 u1 3)) u1)) (log1p.f32 (neg.f32 (pow.f32 u1 3))))))
4.7b
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (pow.f32 u1 3)))))
0.5b
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))))
30.5b
(*.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) (*.f32 2 (*.f32 u2 (PI.f32))))
11.6b
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (*.f32 2 (*.f32 u2 (PI.f32))))
11.7b
(*.f32 (PI.f32) (*.f32 (*.f32 2 u2) (sqrt.f32 (log1p.f32 u1))))
11.6b
(*.f32 (PI.f32) (sqrt.f32 (*.f32 (log1p.f32 u1) (*.f32 4 (*.f32 u2 u2)))))
6.2b
(*.f32 2 (*.f32 (PI.f32) (*.f32 u2 (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (neg.f32 (pow.f32 u1 3))))))))
5.7b
(sqrt.f32 (*.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (pow.f32 u1 3))) (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 2)))
9.1b
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2)))
12.0b
(exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))))
29.7b
0
Compiler

Compiled 2163 to 1793 computations (17.1% saved)

localize109.0ms (0.7%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
0.3b
(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))
0.3b
(*.f32 u2 (PI.f32))
0.4b
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))))
Compiler

Compiled 67 to 21 computations (68.7% saved)

series2.0ms (0%)

Counts
3 → 36
Calls

12 calls:

TimeVariablePointExpression
0.0ms
u1
@inf
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))))
0.0ms
u1
@-inf
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))))
0.0ms
u2
@0
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))))
0.0ms
u1
@0
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))))
0.0ms
u1
@inf
(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))

rewrite104.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
674×distribute-rgt-in
650×associate-*r/
612×distribute-lft-in
518×associate-*l/
384×add-sqr-sqrt
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01897
137389
2469981
Stop Event
node limit
Counts
3 → 163
Calls
Call 1
Inputs
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))))
(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
Outputs
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simplify180.0ms (1.2%)

Algorithm
egg-herbie
Rules
1194×+-commutative
1010×associate-+r+
956×associate-*r*
908×associate-*l*
762×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
054213631
1151312505
2726612505
Stop Event
node limit
Counts
199 → 330
Calls
Call 1
Inputs
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u1 2))))))))
(+.f32 (*.f32 -4/3 (*.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u1 2)))))))) (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u1 2)))))))))
(+.f32 (*.f32 4/15 (*.f32 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u1 2)))))))) (+.f32 (*.f32 -4/3 (*.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u1 2)))))))) (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u1 2))))))))))
(+.f32 (*.f32 4/15 (*.f32 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u1 2)))))))) (+.f32 (*.f32 -4/3 (*.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u1 2)))))))) (+.f32 (*.f32 -8/315 (*.f32 (*.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u1 2)))))))) (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u1 2)))))))))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u1 2)))))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u1 2)))))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u1 2)))))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u1 2)))))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u1 2)))))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u1 2)))))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u1 2)))))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u1 2)))))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))))
(+.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))) (*.f32 1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))))))
(+.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))) (+.f32 (*.f32 1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))))) (*.f32 1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (-.f32 1/2 (pow.f32 (*.f32 1/2 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))))))))
(+.f32 (*.f32 1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (-.f32 1/3 (*.f32 1/2 (/.f32 (-.f32 1/2 (pow.f32 (*.f32 1/2 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))))) 2)) (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))))) (+.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))) (+.f32 (*.f32 1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))))) (*.f32 1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (-.f32 1/2 (pow.f32 (*.f32 1/2 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))))))))
(*.f32 (sqrt.f32 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1))))) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(+.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1)))))) (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1))) (*.f32 (sqrt.f32 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1))))) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))))
(+.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1)))))) (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1))) (+.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1)))))) (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (-.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1))))))) 2))) (pow.f32 u1 2)))) (*.f32 (sqrt.f32 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1))))) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))))
(+.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1)))))) (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1))) (+.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1)))))) (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (-.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1))))))) 2))) (pow.f32 u1 2)))) (+.f32 (*.f32 (sqrt.f32 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1))))) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1)))))) (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (+.f32 (*.f32 -1/2 (/.f32 (-.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1))))))) 2)) (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1)))))) 1/3)) (pow.f32 u1 3)))))))
u1
(+.f32 (*.f32 1/2 (pow.f32 u1 2)) u1)
(+.f32 (*.f32 1/2 (pow.f32 u1 2)) (+.f32 (*.f32 1/3 (pow.f32 u1 3)) u1))
(+.f32 (*.f32 1/2 (pow.f32 u1 2)) (+.f32 (*.f32 1/4 (pow.f32 u1 4)) (+.f32 (*.f32 1/3 (pow.f32 u1 3)) u1)))
(-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (/.f32 1 u1)) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))
(-.f32 (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))
(-.f32 (+.f32 (*.f32 1/3 (/.f32 1 (pow.f32 u1 3))) (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (/.f32 1 u1)))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))
(-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1))))
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (/.f32 1 u1)) (*.f32 -2 (log.f32 (/.f32 -1 u1))))
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1))))
(-.f32 (+.f32 (*.f32 1/3 (/.f32 1 (pow.f32 u1 3))) (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1)))) (*.f32 -2 (log.f32 (/.f32 -1 u1))))
(*.f32 2 (*.f32 u2 (PI.f32)))
(+.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (*.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))
(+.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (+.f32 (*.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (*.f32 4/15 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)))))
(+.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (+.f32 (*.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (+.f32 (*.f32 -8/315 (*.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (*.f32 4/15 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 1 (+.f32 u1 1))))))) 1)
(/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 3)))) (sqrt.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) (*.f32 (log1p.f32 (*.f32 u1 u1)) (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))))))
(/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) 2) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 2)))) (sqrt.f32 (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))))
(/.f32 (*.f32 (*.f32 (sqrt.f32 (log.f32 (/.f32 1 (+.f32 u1 1)))) 2) (+.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sin.f32 (-.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32)))))) 2)
(/.f32 (*.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 3))) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) (*.f32 (log1p.f32 (*.f32 u1 u1)) (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))))))
(/.f32 (*.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) 2) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 2))) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))))
(/.f32 (*.f32 (cbrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 3))) (*.f32 (cbrt.f32 (sqrt.f32 (log.f32 (/.f32 1 (+.f32 u1 1))))) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))) (cbrt.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) (*.f32 (log1p.f32 (*.f32 u1 u1)) (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))))))
(/.f32 (*.f32 (cbrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) 2) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 2))) (*.f32 (cbrt.f32 (sqrt.f32 (log.f32 (/.f32 1 (+.f32 u1 1))))) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))) (cbrt.f32 (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))))
(pow.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 1 (+.f32 u1 1))))) 1)
(pow.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 1 (+.f32 u1 1)))))) 2)
(pow.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 1 (+.f32 u1 1)))))) 3)
(pow.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 1 (+.f32 u1 1))))) 3) 1/3)
(sqrt.f32 (*.f32 (log.f32 (/.f32 1 (+.f32 u1 1))) (pow.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2)))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 (log.f32 (/.f32 1 (+.f32 u1 1))))) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 1 (+.f32 u1 1))))))))
(cbrt.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 1 (+.f32 u1 1))))) 3))
(cbrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 3) (pow.f32 (log.f32 (/.f32 1 (+.f32 u1 1))) 3/2)))
(cbrt.f32 (*.f32 (pow.f32 (log.f32 (/.f32 1 (+.f32 u1 1))) 3/2) (pow.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 3)))
(expm1.f32 (log1p.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 1 (+.f32 u1 1)))))))
(exp.f32 (log.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 1 (+.f32 u1 1)))))))
(exp.f32 (*.f32 (log.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 1 (+.f32 u1 1)))))) 1))
(log1p.f32 (expm1.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 1 (+.f32 u1 1)))))))
(+.f32 (log1p.f32 u1) (neg.f32 (log1p.f32 (*.f32 u1 u1))))
(+.f32 (log1p.f32 u1) (*.f32 (neg.f32 (log1p.f32 (*.f32 u1 u1))) 1))
(+.f32 (log1p.f32 u1) (+.f32 (neg.f32 (log1p.f32 (*.f32 u1 u1))) (fma.f32 (neg.f32 (log1p.f32 (*.f32 u1 u1))) 1 (log1p.f32 (*.f32 u1 u1)))))
(+.f32 (log1p.f32 u1) (+.f32 (*.f32 (neg.f32 (log1p.f32 (*.f32 u1 u1))) 1) (fma.f32 (neg.f32 (log1p.f32 (*.f32 u1 u1))) 1 (log1p.f32 (*.f32 u1 u1)))))
(+.f32 (log1p.f32 u1) (+.f32 (neg.f32 (log1p.f32 (*.f32 u1 u1))) (fma.f32 (neg.f32 (sqrt.f32 (log1p.f32 (*.f32 u1 u1)))) (sqrt.f32 (log1p.f32 (*.f32 u1 u1))) (log1p.f32 (*.f32 u1 u1)))))
(+.f32 (log1p.f32 u1) (+.f32 (*.f32 (neg.f32 (log1p.f32 (*.f32 u1 u1))) 1) (fma.f32 (neg.f32 (sqrt.f32 (log1p.f32 (*.f32 u1 u1)))) (sqrt.f32 (log1p.f32 (*.f32 u1 u1))) (log1p.f32 (*.f32 u1 u1)))))
(+.f32 (log1p.f32 u1) (+.f32 (neg.f32 (log1p.f32 (*.f32 u1 u1))) (fma.f32 (neg.f32 (cbrt.f32 (log1p.f32 (*.f32 u1 u1)))) (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 u1 u1))) 2) (log1p.f32 (*.f32 u1 u1)))))
(+.f32 (log1p.f32 u1) (+.f32 (*.f32 (neg.f32 (log1p.f32 (*.f32 u1 u1))) 1) (fma.f32 (neg.f32 (cbrt.f32 (log1p.f32 (*.f32 u1 u1)))) (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 u1 u1))) 2) (log1p.f32 (*.f32 u1 u1)))))
(+.f32 (log1p.f32 u1) (*.f32 1 (*.f32 (neg.f32 (log1p.f32 (*.f32 u1 u1))) 1)))
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(/.f32 (*.f32 (sqrt.f32 (log.f32 (/.f32 1 (+.f32 u1 1)))) (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) 2) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 2)))) (sqrt.f32 (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))))
(/.f32 (*.f32 1 (-.f32 (pow.f32 (log1p.f32 u1) 2) (*.f32 (neg.f32 (log1p.f32 (*.f32 u1 u1))) (neg.f32 (log1p.f32 (*.f32 u1 u1)))))) (-.f32 (log1p.f32 u1) (neg.f32 (log1p.f32 (*.f32 u1 u1)))))
(/.f32 (*.f32 1 (+.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (neg.f32 (log1p.f32 (*.f32 u1 u1))) 3))) (-.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) (*.f32 (neg.f32 (log1p.f32 (*.f32 u1 u1))) (neg.f32 (log1p.f32 (*.f32 u1 u1))))) (*.f32 (log1p.f32 u1) (neg.f32 (log1p.f32 (*.f32 u1 u1))))))
(/.f32 (*.f32 1 (neg.f32 (-.f32 (pow.f32 (log1p.f32 u1) 2) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 2)))) (neg.f32 (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))))
(/.f32 (*.f32 1 (neg.f32 (-.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 3)))) (neg.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) (*.f32 (log1p.f32 (*.f32 u1 u1)) (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))))))
(/.f32 (*.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 1 (+.f32 u1 1)))) 2) (cbrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 3)))) (cbrt.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) (*.f32 (log1p.f32 (*.f32 u1 u1)) (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))))))
(/.f32 (*.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 1 (+.f32 u1 1)))) 2) (cbrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) 2) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 2)))) (cbrt.f32 (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))))
(/.f32 (*.f32 (-.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 3)) 1) (+.f32 (pow.f32 (log1p.f32 u1) 2) (*.f32 (log1p.f32 (*.f32 u1 u1)) (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))))))
(/.f32 (*.f32 (-.f32 (pow.f32 (log1p.f32 u1) 2) (*.f32 (neg.f32 (log1p.f32 (*.f32 u1 u1))) (neg.f32 (log1p.f32 (*.f32 u1 u1))))) 1) (-.f32 (log1p.f32 u1) (neg.f32 (log1p.f32 (*.f32 u1 u1)))))
(/.f32 (*.f32 (+.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (neg.f32 (log1p.f32 (*.f32 u1 u1))) 3)) 1) (-.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) (*.f32 (neg.f32 (log1p.f32 (*.f32 u1 u1))) (neg.f32 (log1p.f32 (*.f32 u1 u1))))) (*.f32 (log1p.f32 u1) (neg.f32 (log1p.f32 (*.f32 u1 u1))))))
(/.f32 (*.f32 (neg.f32 (-.f32 (pow.f32 (log1p.f32 u1) 2) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 2))) 1) (neg.f32 (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))))
(/.f32 (*.f32 (neg.f32 (-.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 3))) 1) (neg.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) (*.f32 (log1p.f32 (*.f32 u1 u1)) (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))))))
(/.f32 (*.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 3))) (sqrt.f32 (log.f32 (/.f32 1 (+.f32 u1 1))))) (sqrt.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) (*.f32 (log1p.f32 (*.f32 u1 u1)) (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))))))
(/.f32 (*.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) 2) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 2))) (sqrt.f32 (log.f32 (/.f32 1 (+.f32 u1 1))))) (sqrt.f32 (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))))
(/.f32 (*.f32 (cbrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 3))) (pow.f32 (cbrt.f32 (log.f32 (/.f32 1 (+.f32 u1 1)))) 2)) (cbrt.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) (*.f32 (log1p.f32 (*.f32 u1 u1)) (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))))))
(/.f32 (*.f32 (cbrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) 2) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 2))) (pow.f32 (cbrt.f32 (log.f32 (/.f32 1 (+.f32 u1 1)))) 2)) (cbrt.f32 (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))))
(/.f32 (*.f32 (cbrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 3))) (*.f32 (cbrt.f32 (sqrt.f32 (log.f32 (/.f32 1 (+.f32 u1 1))))) (sqrt.f32 (log.f32 (/.f32 1 (+.f32 u1 1)))))) (cbrt.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) (*.f32 (log1p.f32 (*.f32 u1 u1)) (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))))))
(/.f32 (*.f32 (cbrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) 2) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 2))) (*.f32 (cbrt.f32 (sqrt.f32 (log.f32 (/.f32 1 (+.f32 u1 1))))) (sqrt.f32 (log.f32 (/.f32 1 (+.f32 u1 1)))))) (cbrt.f32 (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))))
(/.f32 (*.f32 (-.f32 (*.f32 (pow.f32 (log1p.f32 u1) 2) (pow.f32 (log1p.f32 u1) 2)) (*.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) 2) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 2))) (/.f32 1 (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))))) (+.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) 2) (pow.f32 (log1p.f32 u1) 2)))
(/.f32 (*.f32 (-.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 2) 3) (pow.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) 2) 3)) (/.f32 1 (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))))) (+.f32 (+.f32 (*.f32 (pow.f32 (log1p.f32 u1) 2) (pow.f32 (log1p.f32 u1) 2)) (*.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) 2) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 2))) (*.f32 (pow.f32 (log1p.f32 u1) 2) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 2))))
(/.f32 (*.f32 (-.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (log1p.f32 u1) 3)) (*.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) 3) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 3))) (/.f32 1 (+.f32 (pow.f32 (log1p.f32 u1) 2) (*.f32 (log1p.f32 (*.f32 u1 u1)) (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))))))) (+.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 3)))
(/.f32 (*.f32 (-.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3) 3) (pow.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) 3) 3)) (/.f32 1 (+.f32 (pow.f32 (log1p.f32 u1) 2) (*.f32 (log1p.f32 (*.f32 u1 u1)) (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))))))) (+.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (log1p.f32 u1) 3)) (+.f32 (*.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) 3) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 3)) (*.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 3)))))
(/.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 u1) 2) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 2)) 1) (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))))
(/.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 u1) 2) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 2)) (sqrt.f32 (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))))) (sqrt.f32 (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))))
(/.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 u1) 2) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 2)) (*.f32 (cbrt.f32 (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))) (cbrt.f32 (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))))) (cbrt.f32 (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))))
(/.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 3)) 1) (+.f32 (pow.f32 (log1p.f32 u1) 2) (*.f32 (log1p.f32 (*.f32 u1 u1)) (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))))))
(/.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 3)) (sqrt.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) (*.f32 (log1p.f32 (*.f32 u1 u1)) (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))))))) (sqrt.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) (*.f32 (log1p.f32 (*.f32 u1 u1)) (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))))))
(/.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 3)) (*.f32 (cbrt.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) (*.f32 (log1p.f32 (*.f32 u1 u1)) (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))))) (cbrt.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) (*.f32 (log1p.f32 (*.f32 u1 u1)) (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))))))) (cbrt.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) (*.f32 (log1p.f32 (*.f32 u1 u1)) (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))))))
(pow.f32 (log.f32 (/.f32 1 (+.f32 u1 1))) 1)
(pow.f32 (sqrt.f32 (log.f32 (/.f32 1 (+.f32 u1 1)))) 2)
(pow.f32 (cbrt.f32 (log.f32 (/.f32 1 (+.f32 u1 1)))) 3)
(pow.f32 (pow.f32 (log.f32 (/.f32 1 (+.f32 u1 1))) 2) 1/2)
(pow.f32 (pow.f32 (log.f32 (/.f32 1 (+.f32 u1 1))) 3) 1/3)
(sqrt.f32 (pow.f32 (log.f32 (/.f32 1 (+.f32 u1 1))) 2))
(log.f32 (/.f32 1 (+.f32 u1 1)))
(log.f32 (+.f32 1 (-.f32 (/.f32 1 (+.f32 u1 1)) 1)))
(cbrt.f32 (pow.f32 (log.f32 (/.f32 1 (+.f32 u1 1))) 3))
(expm1.f32 (log1p.f32 (log.f32 (/.f32 1 (+.f32 u1 1)))))
(exp.f32 (log.f32 (log.f32 (/.f32 1 (+.f32 u1 1)))))
(exp.f32 (*.f32 (log.f32 (log.f32 (/.f32 1 (+.f32 u1 1)))) 1))
(log1p.f32 (-.f32 (/.f32 1 (+.f32 u1 1)) 1))
(fma.f32 1 (log1p.f32 u1) (neg.f32 (log1p.f32 (*.f32 u1 u1))))
(fma.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (log1p.f32 u1)) (neg.f32 (log1p.f32 (*.f32 u1 u1))))
(fma.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (cbrt.f32 (log1p.f32 u1)) (neg.f32 (log1p.f32 (*.f32 u1 u1))))
(-.f32 (exp.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))) 1)
(*.f32 2 (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32)))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 1)
(*.f32 1 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))))
(*.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) 2))
(*.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) 2) (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))))
(*.f32 (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32)))) 2)
(*.f32 (*.f32 2 (sin.f32 (*.f32 u2 (PI.f32)))) (cos.f32 (*.f32 u2 (PI.f32))))
(/.f32 (*.f32 2 (+.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sin.f32 (-.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32)))))) 2)
(/.f32 (*.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sin.f32 (-.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32))))) 2) 2)
(pow.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 1)
(pow.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) 2)
(pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) 3)
(pow.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 3) 1/3)
(sqrt.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2))
(log.f32 (exp.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))))
(log.f32 (+.f32 1 (expm1.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))))
(cbrt.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 3))
(expm1.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))))
(exp.f32 (log.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))))
(exp.f32 (*.f32 (log.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) 1))
(log1p.f32 (expm1.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))))
Outputs
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u1 2))))))))
(*.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (*.f32 u1 u1))))))
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))) (*.f32 2 (*.f32 u2 (PI.f32))))
(+.f32 (*.f32 -4/3 (*.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u1 2)))))))) (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u1 2)))))))))
(fma.f32 -4/3 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (*.f32 u1 u1))))) (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (*.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (*.f32 u1 u1)))))))
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))) (fma.f32 (*.f32 -4/3 (pow.f32 u2 3)) (pow.f32 (PI.f32) 3) (*.f32 2 (*.f32 u2 (PI.f32)))))
(+.f32 (*.f32 4/15 (*.f32 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u1 2)))))))) (+.f32 (*.f32 -4/3 (*.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u1 2)))))))) (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u1 2))))))))))
(fma.f32 4/15 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (*.f32 u1 u1))))) (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (fma.f32 -4/3 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (*.f32 u1 u1))))) (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (*.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (*.f32 u1 u1))))))))
(fma.f32 4/15 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))) (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))) (fma.f32 (*.f32 -4/3 (pow.f32 u2 3)) (pow.f32 (PI.f32) 3) (*.f32 2 (*.f32 u2 (PI.f32))))))
(+.f32 (*.f32 4/15 (*.f32 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u1 2)))))))) (+.f32 (*.f32 -4/3 (*.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u1 2)))))))) (+.f32 (*.f32 -8/315 (*.f32 (*.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u1 2)))))))) (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u1 2)))))))))))
(fma.f32 4/15 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (*.f32 u1 u1))))) (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (fma.f32 -4/3 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (*.f32 u1 u1))))) (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (fma.f32 -8/315 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (*.f32 u1 u1))))) (*.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (*.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (*.f32 u1 u1)))))))))
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u1
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(fma.f32 1/2 (*.f32 u1 u1) u1)
(fma.f32 (*.f32 u1 u1) 1/2 u1)
(+.f32 (*.f32 1/2 (pow.f32 u1 2)) (+.f32 (*.f32 1/3 (pow.f32 u1 3)) u1))
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(fma.f32 (*.f32 u1 u1) 1/2 (fma.f32 1/4 (pow.f32 u1 4) (fma.f32 1/3 (pow.f32 u1 3) u1)))
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(*.f32 (log.f32 (/.f32 -1 u1)) 1)
(log.f32 (/.f32 -1 u1))
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(/.f32 (-.f32 (pow.f32 (log1p.f32 u1) 6) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 6)) (*.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) (*.f32 (log1p.f32 (*.f32 u1 u1)) (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))))) (+.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 3))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 u1) 6) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 6)) (*.f32 (fma.f32 (log1p.f32 (*.f32 u1 u1)) (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))) (pow.f32 (log1p.f32 u1) 2)) (+.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 3))))
(/.f32 (*.f32 (-.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3) 3) (pow.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) 3) 3)) (/.f32 1 (+.f32 (pow.f32 (log1p.f32 u1) 2) (*.f32 (log1p.f32 (*.f32 u1 u1)) (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))))))) (+.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (log1p.f32 u1) 3)) (+.f32 (*.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) 3) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 3)) (*.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 3)))))
(/.f32 (-.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3) 3) (pow.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) 3) 3)) (*.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) (*.f32 (log1p.f32 (*.f32 u1 u1)) (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))))) (+.f32 (pow.f32 (log1p.f32 u1) 6) (*.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) 3) (+.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 3))))))
(/.f32 (/.f32 (-.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3) 3) (pow.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) 3) 3)) (+.f32 (pow.f32 (log1p.f32 u1) 6) (fma.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 3) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 6)))) (fma.f32 (log1p.f32 (*.f32 u1 u1)) (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))) (pow.f32 (log1p.f32 u1) 2)))
(/.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 u1) 2) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 2)) 1) (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 u1) 2) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 2)) (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))))
(/.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 u1) 2) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 2)) (sqrt.f32 (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))))) (sqrt.f32 (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 u1) 2) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 2)) (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))))
(/.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 u1) 2) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 2)) (*.f32 (cbrt.f32 (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))) (cbrt.f32 (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))))) (cbrt.f32 (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 u1) 2) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 2)) (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))))
(/.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 3)) 1) (+.f32 (pow.f32 (log1p.f32 u1) 2) (*.f32 (log1p.f32 (*.f32 u1 u1)) (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 3)) (+.f32 (pow.f32 (log1p.f32 u1) 2) (*.f32 (log1p.f32 (*.f32 u1 u1)) (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 3)) (fma.f32 (log1p.f32 (*.f32 u1 u1)) (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))) (pow.f32 (log1p.f32 u1) 2)))
(/.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 3)) (sqrt.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) (*.f32 (log1p.f32 (*.f32 u1 u1)) (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))))))) (sqrt.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) (*.f32 (log1p.f32 (*.f32 u1 u1)) (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 3)) (+.f32 (pow.f32 (log1p.f32 u1) 2) (*.f32 (log1p.f32 (*.f32 u1 u1)) (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 3)) (fma.f32 (log1p.f32 (*.f32 u1 u1)) (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))) (pow.f32 (log1p.f32 u1) 2)))
(/.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 3)) (*.f32 (cbrt.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) (*.f32 (log1p.f32 (*.f32 u1 u1)) (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))))) (cbrt.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) (*.f32 (log1p.f32 (*.f32 u1 u1)) (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))))))) (cbrt.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) (*.f32 (log1p.f32 (*.f32 u1 u1)) (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 3)) (+.f32 (pow.f32 (log1p.f32 u1) 2) (*.f32 (log1p.f32 (*.f32 u1 u1)) (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 3)) (fma.f32 (log1p.f32 (*.f32 u1 u1)) (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))) (pow.f32 (log1p.f32 u1) 2)))
(pow.f32 (log.f32 (/.f32 1 (+.f32 u1 1))) 1)
(neg.f32 (log1p.f32 u1))
(pow.f32 (sqrt.f32 (log.f32 (/.f32 1 (+.f32 u1 1)))) 2)
(neg.f32 (log1p.f32 u1))
(pow.f32 (cbrt.f32 (log.f32 (/.f32 1 (+.f32 u1 1)))) 3)
(neg.f32 (log1p.f32 u1))
(pow.f32 (pow.f32 (log.f32 (/.f32 1 (+.f32 u1 1))) 2) 1/2)
(sqrt.f32 (pow.f32 (neg.f32 (log1p.f32 u1)) 2))
(fabs.f32 (neg.f32 (log1p.f32 u1)))
(pow.f32 (pow.f32 (log.f32 (/.f32 1 (+.f32 u1 1))) 3) 1/3)
(neg.f32 (log1p.f32 u1))
(sqrt.f32 (pow.f32 (log.f32 (/.f32 1 (+.f32 u1 1))) 2))
(sqrt.f32 (pow.f32 (neg.f32 (log1p.f32 u1)) 2))
(fabs.f32 (neg.f32 (log1p.f32 u1)))
(log.f32 (/.f32 1 (+.f32 u1 1)))
(neg.f32 (log1p.f32 u1))
(log.f32 (+.f32 1 (-.f32 (/.f32 1 (+.f32 u1 1)) 1)))
(log1p.f32 (+.f32 (/.f32 1 (+.f32 1 u1)) -1))
(log.f32 (+.f32 (/.f32 1 (+.f32 1 u1)) 0))
(cbrt.f32 (pow.f32 (log.f32 (/.f32 1 (+.f32 u1 1))) 3))
(neg.f32 (log1p.f32 u1))
(expm1.f32 (log1p.f32 (log.f32 (/.f32 1 (+.f32 u1 1)))))
(neg.f32 (log1p.f32 u1))
(exp.f32 (log.f32 (log.f32 (/.f32 1 (+.f32 u1 1)))))
(neg.f32 (log1p.f32 u1))
(exp.f32 (*.f32 (log.f32 (log.f32 (/.f32 1 (+.f32 u1 1)))) 1))
(neg.f32 (log1p.f32 u1))
(log1p.f32 (-.f32 (/.f32 1 (+.f32 u1 1)) 1))
(log1p.f32 (+.f32 (/.f32 1 (+.f32 1 u1)) -1))
(log.f32 (+.f32 (/.f32 1 (+.f32 1 u1)) 0))
(fma.f32 1 (log1p.f32 u1) (neg.f32 (log1p.f32 (*.f32 u1 u1))))
(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))
(fma.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (log1p.f32 u1)) (neg.f32 (log1p.f32 (*.f32 u1 u1))))
(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))
(fma.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (cbrt.f32 (log1p.f32 u1)) (neg.f32 (log1p.f32 (*.f32 u1 u1))))
(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))
(-.f32 (exp.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))) 1)
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(*.f32 2 (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32)))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 1)
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(*.f32 1 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(*.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(*.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) 2))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(*.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) 2) (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32)))) 2)
(*.f32 2 (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32)))))
(*.f32 (*.f32 2 (sin.f32 (*.f32 u2 (PI.f32)))) (cos.f32 (*.f32 u2 (PI.f32))))
(*.f32 2 (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32)))))
(/.f32 (*.f32 2 (+.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sin.f32 (-.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32)))))) 2)
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(/.f32 (*.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sin.f32 (-.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32))))) 2) 2)
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(pow.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 1)
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(pow.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) 2)
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) 3)
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(pow.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 3) 1/3)
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sqrt.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2))
(fabs.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(log.f32 (exp.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(log.f32 (+.f32 1 (expm1.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(cbrt.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 3))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(expm1.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(exp.f32 (log.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(exp.f32 (*.f32 (log.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) 1))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(log1p.f32 (expm1.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))

localize34.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(sqrt.f32 (log1p.f32 u1))
0.3b
(*.f32 (PI.f32) (*.f32 2 u2))
0.3b
(*.f32 (*.f32 (PI.f32) (*.f32 2 u2)) (sqrt.f32 (log1p.f32 u1)))
Compiler

Compiled 29 to 16 computations (44.8% saved)

series1.0ms (0%)

Counts
1 → 20
Calls

6 calls:

TimeVariablePointExpression
0.0ms
u1
@-inf
(*.f32 (*.f32 (PI.f32) (*.f32 2 u2)) (sqrt.f32 (log1p.f32 u1)))
0.0ms
u1
@inf
(*.f32 (*.f32 (PI.f32) (*.f32 2 u2)) (sqrt.f32 (log1p.f32 u1)))
0.0ms
u1
@0
(*.f32 (*.f32 (PI.f32) (*.f32 2 u2)) (sqrt.f32 (log1p.f32 u1)))
0.0ms
u2
@0
(*.f32 (*.f32 (PI.f32) (*.f32 2 u2)) (sqrt.f32 (log1p.f32 u1)))
0.0ms
u2
@inf
(*.f32 (*.f32 (PI.f32) (*.f32 2 u2)) (sqrt.f32 (log1p.f32 u1)))

rewrite70.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1118×sqrt-prod
994×unswap-sqr
832×swap-sqr
464×sqr-pow
452×pow-sqr
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01329
125729
2300529
Stop Event
node limit
Counts
1 → 18
Calls
Call 1
Inputs
(*.f32 (*.f32 (PI.f32) (*.f32 2 u2)) (sqrt.f32 (log1p.f32 u1)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (exp.f32 (log1p.f32 (*.f32 (*.f32 (PI.f32) (*.f32 2 u2)) (sqrt.f32 (log1p.f32 u1))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (*.f32 (PI.f32) (*.f32 2 u2)) (sqrt.f32 (log1p.f32 u1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 (exp.f32 (log1p.f32 (*.f32 (*.f32 (PI.f32) (*.f32 2 u2)) (sqrt.f32 (log1p.f32 u1))))) (exp.f32 (log1p.f32 (*.f32 (*.f32 (PI.f32) (*.f32 2 u2)) (sqrt.f32 (log1p.f32 u1)))))) 1) (+.f32 (exp.f32 (log1p.f32 (*.f32 (*.f32 (PI.f32) (*.f32 2 u2)) (sqrt.f32 (log1p.f32 u1))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (pow.f32 (exp.f32 (log1p.f32 (*.f32 (*.f32 (PI.f32) (*.f32 2 u2)) (sqrt.f32 (log1p.f32 u1))))) 3) 1) (+.f32 (*.f32 (exp.f32 (log1p.f32 (*.f32 (*.f32 (PI.f32) (*.f32 2 u2)) (sqrt.f32 (log1p.f32 u1))))) (exp.f32 (log1p.f32 (*.f32 (*.f32 (PI.f32) (*.f32 2 u2)) (sqrt.f32 (log1p.f32 u1)))))) (+.f32 1 (*.f32 (exp.f32 (log1p.f32 (*.f32 (*.f32 (PI.f32) (*.f32 2 u2)) (sqrt.f32 (log1p.f32 u1))))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (*.f32 (PI.f32) (*.f32 2 u2)) (sqrt.f32 (log1p.f32 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (*.f32 (PI.f32) (*.f32 2 u2)) (sqrt.f32 (log1p.f32 u1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (*.f32 (PI.f32) (*.f32 2 u2)) (sqrt.f32 (log1p.f32 u1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) (*.f32 2 u2)) (sqrt.f32 (log1p.f32 u1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f32 (*.f32 (*.f32 (PI.f32) (*.f32 2 u2)) (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (pow.f32 (pow.f32 (exp.f32 2) u2) (PI.f32)) (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (*.f32 (PI.f32) (*.f32 2 u2)) (sqrt.f32 (log1p.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) (*.f32 2 u2)) (sqrt.f32 (log1p.f32 u1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 3) (pow.f32 (log1p.f32 u1) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (*.f32 (PI.f32) (*.f32 2 u2)) (sqrt.f32 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (*.f32 (PI.f32) (*.f32 2 u2)) (sqrt.f32 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (*.f32 (PI.f32) (*.f32 2 u2)) (sqrt.f32 (log1p.f32 u1)))))))))

simplify75.0ms (0.5%)

Algorithm
egg-herbie
Rules
1188×times-frac
1182×associate-+r+
1138×associate-+l+
914×associate-/l*
780×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01422500
14182362
216422164
364392164
Stop Event
node limit
Counts
38 → 65
Calls
Call 1
Inputs
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (/.f32 1 u1)))))
(+.f32 (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (/.f32 1 u1))))) (*.f32 (/.f32 (*.f32 u2 (PI.f32)) (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1))))))
(+.f32 (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (/.f32 1 u1))))) (+.f32 (*.f32 -1 (*.f32 (/.f32 (*.f32 u2 (*.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) 2)) (PI.f32))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (*.f32 (/.f32 (*.f32 u2 (PI.f32)) (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (/.f32 1 u1))))) (+.f32 (*.f32 -1 (*.f32 (/.f32 (*.f32 u2 (*.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) 2)) (PI.f32))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (*.f32 (/.f32 (*.f32 u2 (*.f32 (-.f32 1/3 (*.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) 2)) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 1 u1)))))) (PI.f32))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1))))) (*.f32 (/.f32 (*.f32 u2 (PI.f32)) (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1))))))))
(*.f32 2 (*.f32 (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (*.f32 u2 (PI.f32))))
(+.f32 (*.f32 2 (*.f32 (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (*.f32 u2 (PI.f32)))) (*.f32 (/.f32 (*.f32 u2 (PI.f32)) u1) (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))))
(+.f32 (*.f32 2 (*.f32 (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (*.f32 u2 (PI.f32)))) (+.f32 (*.f32 (/.f32 (*.f32 u2 (PI.f32)) u1) (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (*.f32 -1 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 (*.f32 u2 (*.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) 2)) (PI.f32))) (pow.f32 u1 2))))))
(+.f32 (*.f32 (/.f32 (*.f32 u2 (*.f32 (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) 2)) (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (PI.f32))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (+.f32 (*.f32 2 (*.f32 (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (*.f32 u2 (PI.f32)))) (+.f32 (*.f32 (/.f32 (*.f32 u2 (PI.f32)) u1) (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (*.f32 -1 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 (*.f32 u2 (*.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) 2)) (PI.f32))) (pow.f32 u1 2)))))))
(+.f32 (exp.f32 (log1p.f32 (*.f32 (*.f32 (PI.f32) (*.f32 2 u2)) (sqrt.f32 (log1p.f32 u1))))) -1)
(-.f32 (exp.f32 (log1p.f32 (*.f32 (*.f32 (PI.f32) (*.f32 2 u2)) (sqrt.f32 (log1p.f32 u1))))) 1)
(/.f32 (-.f32 (*.f32 (exp.f32 (log1p.f32 (*.f32 (*.f32 (PI.f32) (*.f32 2 u2)) (sqrt.f32 (log1p.f32 u1))))) (exp.f32 (log1p.f32 (*.f32 (*.f32 (PI.f32) (*.f32 2 u2)) (sqrt.f32 (log1p.f32 u1)))))) 1) (+.f32 (exp.f32 (log1p.f32 (*.f32 (*.f32 (PI.f32) (*.f32 2 u2)) (sqrt.f32 (log1p.f32 u1))))) 1))
(/.f32 (-.f32 (pow.f32 (exp.f32 (log1p.f32 (*.f32 (*.f32 (PI.f32) (*.f32 2 u2)) (sqrt.f32 (log1p.f32 u1))))) 3) 1) (+.f32 (*.f32 (exp.f32 (log1p.f32 (*.f32 (*.f32 (PI.f32) (*.f32 2 u2)) (sqrt.f32 (log1p.f32 u1))))) (exp.f32 (log1p.f32 (*.f32 (*.f32 (PI.f32) (*.f32 2 u2)) (sqrt.f32 (log1p.f32 u1)))))) (+.f32 1 (*.f32 (exp.f32 (log1p.f32 (*.f32 (*.f32 (PI.f32) (*.f32 2 u2)) (sqrt.f32 (log1p.f32 u1))))) 1))))
(pow.f32 (*.f32 (*.f32 (PI.f32) (*.f32 2 u2)) (sqrt.f32 (log1p.f32 u1))) 1)
(pow.f32 (sqrt.f32 (*.f32 (*.f32 (PI.f32) (*.f32 2 u2)) (sqrt.f32 (log1p.f32 u1)))) 2)
(pow.f32 (cbrt.f32 (*.f32 (*.f32 (PI.f32) (*.f32 2 u2)) (sqrt.f32 (log1p.f32 u1)))) 3)
(pow.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) (*.f32 2 u2)) (sqrt.f32 (log1p.f32 u1))) 3) 1/3)
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 2)))
(fabs.f32 (*.f32 (*.f32 (PI.f32) (*.f32 2 u2)) (sqrt.f32 (log1p.f32 u1))))
(log.f32 (pow.f32 (pow.f32 (pow.f32 (exp.f32 2) u2) (PI.f32)) (sqrt.f32 (log1p.f32 u1))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (*.f32 (PI.f32) (*.f32 2 u2)) (sqrt.f32 (log1p.f32 u1))))))
(cbrt.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) (*.f32 2 u2)) (sqrt.f32 (log1p.f32 u1))) 3))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 3)))
(expm1.f32 (log1p.f32 (*.f32 (*.f32 (PI.f32) (*.f32 2 u2)) (sqrt.f32 (log1p.f32 u1)))))
(exp.f32 (log.f32 (*.f32 (*.f32 (PI.f32) (*.f32 2 u2)) (sqrt.f32 (log1p.f32 u1)))))
(log1p.f32 (expm1.f32 (*.f32 (*.f32 (PI.f32) (*.f32 2 u2)) (sqrt.f32 (log1p.f32 u1)))))
Outputs
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))
(*.f32 u2 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 2 (PI.f32))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))
(*.f32 u2 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 2 (PI.f32))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))
(*.f32 u2 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 2 (PI.f32))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))
(*.f32 u2 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 2 (PI.f32))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))
(*.f32 u2 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 2 (PI.f32))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))
(*.f32 u2 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 2 (PI.f32))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))
(*.f32 u2 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 2 (PI.f32))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))
(*.f32 u2 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 2 (PI.f32))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))
(*.f32 u2 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 2 (PI.f32))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))
(*.f32 u2 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 2 (PI.f32))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))
(*.f32 u2 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 2 (PI.f32))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))
(*.f32 u2 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 2 (PI.f32))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (/.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 -1)) (sqrt.f32 (neg.f32 (log.f32 u1)))))
(*.f32 (*.f32 2 (sqrt.f32 (neg.f32 (log.f32 u1)))) (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 -1)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 u1))) (*.f32 (sqrt.f32 -1) (*.f32 u2 (*.f32 2 (PI.f32)))))
(+.f32 (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (/.f32 1 u1))))) (*.f32 (/.f32 (*.f32 u2 (PI.f32)) (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1))))))
(fma.f32 2 (*.f32 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 -1)) (sqrt.f32 (neg.f32 (log.f32 u1)))) (*.f32 (*.f32 (/.f32 u2 (sqrt.f32 -1)) (/.f32 (PI.f32) u1)) (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1))))))
(fma.f32 (*.f32 (/.f32 u2 (sqrt.f32 -1)) (/.f32 (PI.f32) u1)) (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (*.f32 (*.f32 2 (sqrt.f32 (neg.f32 (log.f32 u1)))) (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 -1))))
(fma.f32 2 (*.f32 (PI.f32) (*.f32 (sqrt.f32 (neg.f32 (log.f32 u1))) (*.f32 u2 (sqrt.f32 -1)))) (*.f32 (/.f32 (PI.f32) (*.f32 (sqrt.f32 -1) (/.f32 u1 u2))) (sqrt.f32 (/.f32 -1 (log.f32 u1)))))
(+.f32 (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (/.f32 1 u1))))) (+.f32 (*.f32 -1 (*.f32 (/.f32 (*.f32 u2 (*.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) 2)) (PI.f32))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (*.f32 (/.f32 (*.f32 u2 (PI.f32)) (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))))
(fma.f32 2 (*.f32 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 -1)) (sqrt.f32 (neg.f32 (log.f32 u1)))) (fma.f32 -1 (*.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (*.f32 (/.f32 u2 (sqrt.f32 -1)) (/.f32 (*.f32 (PI.f32) (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 1 (sqrt.f32 -1)))) 2))) (*.f32 u1 u1)))) (*.f32 (*.f32 (/.f32 u2 (sqrt.f32 -1)) (/.f32 (PI.f32) u1)) (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))))))
(fma.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (*.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))))) (*.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (+.f32 (*.f32 (/.f32 u2 (sqrt.f32 -1)) (/.f32 (PI.f32) u1)) (neg.f32 (*.f32 (/.f32 u2 (sqrt.f32 -1)) (*.f32 (/.f32 (PI.f32) u1) (/.f32 (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 1/2 (sqrt.f32 -1))) 2)) u1)))))))
(fma.f32 2 (*.f32 (PI.f32) (*.f32 (sqrt.f32 (neg.f32 (log.f32 u1))) (*.f32 u2 (sqrt.f32 -1)))) (*.f32 (*.f32 (sqrt.f32 (/.f32 -1 (log.f32 u1))) (/.f32 u2 (sqrt.f32 -1))) (-.f32 (/.f32 (PI.f32) u1) (*.f32 (/.f32 (PI.f32) (*.f32 u1 u1)) (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 -1 (log.f32 u1))) (/.f32 1/2 (sqrt.f32 -1))) 2))))))
(+.f32 (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (/.f32 1 u1))))) (+.f32 (*.f32 -1 (*.f32 (/.f32 (*.f32 u2 (*.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) 2)) (PI.f32))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (*.f32 (/.f32 (*.f32 u2 (*.f32 (-.f32 1/3 (*.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) 2)) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 1 u1)))))) (PI.f32))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1))))) (*.f32 (/.f32 (*.f32 u2 (PI.f32)) (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1))))))))
(fma.f32 2 (*.f32 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 -1)) (sqrt.f32 (neg.f32 (log.f32 u1)))) (fma.f32 -1 (*.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (*.f32 (/.f32 u2 (sqrt.f32 -1)) (/.f32 (*.f32 (PI.f32) (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 1 (sqrt.f32 -1)))) 2))) (*.f32 u1 u1)))) (*.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (+.f32 (*.f32 (/.f32 u2 (sqrt.f32 -1)) (/.f32 (*.f32 (PI.f32) (-.f32 1/3 (*.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 1 (sqrt.f32 -1)))) 2)) (*.f32 (neg.f32 (log.f32 u1)) (pow.f32 (sqrt.f32 -1) 2)))))) (pow.f32 u1 3))) (*.f32 (/.f32 u2 (sqrt.f32 -1)) (/.f32 (PI.f32) u1))))))
(fma.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (*.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))))) (-.f32 (*.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (*.f32 (/.f32 u2 (sqrt.f32 -1)) (+.f32 (/.f32 (PI.f32) (/.f32 (pow.f32 u1 3) (-.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 1/2 (sqrt.f32 -1))) 2)) (neg.f32 (log.f32 u1))))))) (/.f32 (PI.f32) u1)))) (*.f32 (/.f32 u2 (/.f32 (sqrt.f32 -1) (*.f32 (PI.f32) (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 1/2 (sqrt.f32 -1))) 2))))) (/.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (*.f32 u1 u1)))))
(fma.f32 2 (*.f32 (PI.f32) (*.f32 (sqrt.f32 (neg.f32 (log.f32 u1))) (*.f32 u2 (sqrt.f32 -1)))) (*.f32 (sqrt.f32 (/.f32 -1 (log.f32 u1))) (-.f32 (*.f32 (/.f32 u2 (sqrt.f32 -1)) (*.f32 (+.f32 (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 -1 (log.f32 u1))) (/.f32 1/2 (sqrt.f32 -1))) 2)) (log.f32 u1)) 1/3) (*.f32 u1 u1)) 1) (/.f32 (PI.f32) u1))) (*.f32 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 -1 (log.f32 u1))) (/.f32 1/2 (sqrt.f32 -1))) 2)) (/.f32 u1 (PI.f32))) (/.f32 u2 (*.f32 u1 (sqrt.f32 -1)))))))
(fma.f32 2 (*.f32 (PI.f32) (*.f32 (sqrt.f32 (neg.f32 (log.f32 u1))) (*.f32 u2 (sqrt.f32 -1)))) (*.f32 (sqrt.f32 (/.f32 -1 (log.f32 u1))) (-.f32 (*.f32 (/.f32 u2 (sqrt.f32 -1)) (*.f32 (+.f32 1 (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 -1 (log.f32 u1))) (/.f32 1/2 (sqrt.f32 -1))) 2)) (log.f32 u1)) 1/3) (*.f32 u1 u1))) (/.f32 (PI.f32) u1))) (*.f32 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 -1 (log.f32 u1))) (/.f32 1/2 (sqrt.f32 -1))) 2)) (/.f32 u1 (PI.f32))) (/.f32 u2 (*.f32 u1 (sqrt.f32 -1)))))))
(*.f32 2 (*.f32 (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (*.f32 u2 (PI.f32))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))))
(*.f32 (sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) (*.f32 2 (*.f32 u2 (PI.f32))))
(*.f32 (sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) (*.f32 u2 (*.f32 2 (PI.f32))))
(+.f32 (*.f32 2 (*.f32 (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (*.f32 u2 (PI.f32)))) (*.f32 (/.f32 (*.f32 u2 (PI.f32)) u1) (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))))
(fma.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))) (*.f32 (/.f32 u2 (/.f32 u1 (PI.f32))) (sqrt.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))))))
(fma.f32 (/.f32 (PI.f32) (/.f32 u1 u2)) (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (*.f32 (sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) (*.f32 2 (*.f32 u2 (PI.f32)))))
(fma.f32 (/.f32 (PI.f32) (/.f32 u1 u2)) (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (*.f32 (sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) (*.f32 u2 (*.f32 2 (PI.f32)))))
(+.f32 (*.f32 2 (*.f32 (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (*.f32 u2 (PI.f32)))) (+.f32 (*.f32 (/.f32 (*.f32 u2 (PI.f32)) u1) (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (*.f32 -1 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 (*.f32 u2 (*.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) 2)) (PI.f32))) (pow.f32 u1 2))))))
(fma.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))) (fma.f32 (/.f32 u2 (/.f32 u1 (PI.f32))) (sqrt.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))) (neg.f32 (*.f32 (sqrt.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))) (/.f32 (*.f32 u2 (*.f32 (PI.f32) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))))) 2)))) (*.f32 u1 u1))))))
(-.f32 (fma.f32 (/.f32 (PI.f32) (/.f32 u1 u2)) (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (*.f32 (sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) (*.f32 2 (*.f32 u2 (PI.f32))))) (/.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (/.f32 (*.f32 u1 u1) (*.f32 (*.f32 u2 (PI.f32)) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))))) 2))))))
(fma.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (-.f32 (/.f32 (PI.f32) (/.f32 u1 u2)) (*.f32 (/.f32 (PI.f32) (/.f32 u1 u2)) (/.f32 (fma.f32 1/4 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) 1/2) u1)))))
(+.f32 (*.f32 (/.f32 (*.f32 u2 (*.f32 (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) 2)) (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (PI.f32))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (+.f32 (*.f32 2 (*.f32 (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (*.f32 u2 (PI.f32)))) (+.f32 (*.f32 (/.f32 (*.f32 u2 (PI.f32)) u1) (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (*.f32 -1 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 (*.f32 u2 (*.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) 2)) (PI.f32))) (pow.f32 u1 2)))))))
(fma.f32 (/.f32 u2 (/.f32 (pow.f32 u1 3) (*.f32 (PI.f32) (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))))) 2)) (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))))))) (sqrt.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))) (fma.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))) (fma.f32 (/.f32 u2 (/.f32 u1 (PI.f32))) (sqrt.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))) (neg.f32 (*.f32 (sqrt.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))) (/.f32 (*.f32 u2 (*.f32 (PI.f32) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))))) 2)))) (*.f32 u1 u1)))))))
(fma.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (*.f32 (/.f32 u2 (pow.f32 u1 3)) (*.f32 (PI.f32) (fma.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))))) 2)) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) 1/3))) (-.f32 (fma.f32 (/.f32 (PI.f32) (/.f32 u1 u2)) (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (*.f32 (sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) (*.f32 2 (*.f32 u2 (PI.f32))))) (/.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (/.f32 (*.f32 u1 u1) (*.f32 (*.f32 u2 (PI.f32)) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))))) 2)))))))
(fma.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (fma.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (*.f32 (*.f32 (PI.f32) (fma.f32 1/2 (/.f32 (fma.f32 1/4 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) 1/2) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) 1/3)) (/.f32 u2 (pow.f32 u1 3))) (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (-.f32 (/.f32 (PI.f32) (/.f32 u1 u2)) (*.f32 (/.f32 (PI.f32) (/.f32 u1 u2)) (/.f32 (fma.f32 1/4 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) 1/2) u1))))))
(+.f32 (exp.f32 (log1p.f32 (*.f32 (*.f32 (PI.f32) (*.f32 2 u2)) (sqrt.f32 (log1p.f32 u1))))) -1)
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))
(*.f32 u2 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 2 (PI.f32))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (*.f32 (PI.f32) (*.f32 2 u2)) (sqrt.f32 (log1p.f32 u1))))) 1)
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))
(*.f32 u2 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 2 (PI.f32))))
(/.f32 (-.f32 (*.f32 (exp.f32 (log1p.f32 (*.f32 (*.f32 (PI.f32) (*.f32 2 u2)) (sqrt.f32 (log1p.f32 u1))))) (exp.f32 (log1p.f32 (*.f32 (*.f32 (PI.f32) (*.f32 2 u2)) (sqrt.f32 (log1p.f32 u1)))))) 1) (+.f32 (exp.f32 (log1p.f32 (*.f32 (*.f32 (PI.f32) (*.f32 2 u2)) (sqrt.f32 (log1p.f32 u1))))) 1))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))
(*.f32 u2 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 2 (PI.f32))))
(/.f32 (-.f32 (pow.f32 (exp.f32 (log1p.f32 (*.f32 (*.f32 (PI.f32) (*.f32 2 u2)) (sqrt.f32 (log1p.f32 u1))))) 3) 1) (+.f32 (*.f32 (exp.f32 (log1p.f32 (*.f32 (*.f32 (PI.f32) (*.f32 2 u2)) (sqrt.f32 (log1p.f32 u1))))) (exp.f32 (log1p.f32 (*.f32 (*.f32 (PI.f32) (*.f32 2 u2)) (sqrt.f32 (log1p.f32 u1)))))) (+.f32 1 (*.f32 (exp.f32 (log1p.f32 (*.f32 (*.f32 (PI.f32) (*.f32 2 u2)) (sqrt.f32 (log1p.f32 u1))))) 1))))
(/.f32 (+.f32 (pow.f32 (exp.f32 (log1p.f32 (*.f32 (*.f32 (*.f32 (PI.f32) 2) u2) (sqrt.f32 (log1p.f32 u1))))) 3) -1) (+.f32 (exp.f32 (+.f32 (log1p.f32 (*.f32 (*.f32 (*.f32 (PI.f32) 2) u2) (sqrt.f32 (log1p.f32 u1)))) (log1p.f32 (*.f32 (*.f32 (*.f32 (PI.f32) 2) u2) (sqrt.f32 (log1p.f32 u1)))))) (+.f32 1 (exp.f32 (log1p.f32 (*.f32 (*.f32 (*.f32 (PI.f32) 2) u2) (sqrt.f32 (log1p.f32 u1))))))))
(/.f32 (+.f32 -1 (pow.f32 (exp.f32 (log1p.f32 (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1)))))) 3)) (+.f32 (exp.f32 (log1p.f32 (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1)))))) (+.f32 1 (exp.f32 (*.f32 2 (log1p.f32 (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))))))))
(/.f32 (expm1.f32 (*.f32 3 (log1p.f32 (*.f32 u2 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 2 (PI.f32))))))) (+.f32 1 (+.f32 (exp.f32 (log1p.f32 (*.f32 u2 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 2 (PI.f32)))))) (pow.f32 (exp.f32 2) (log1p.f32 (*.f32 u2 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 2 (PI.f32)))))))))
(pow.f32 (*.f32 (*.f32 (PI.f32) (*.f32 2 u2)) (sqrt.f32 (log1p.f32 u1))) 1)
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))
(*.f32 u2 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 2 (PI.f32))))
(pow.f32 (sqrt.f32 (*.f32 (*.f32 (PI.f32) (*.f32 2 u2)) (sqrt.f32 (log1p.f32 u1)))) 2)
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))
(*.f32 u2 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 2 (PI.f32))))
(pow.f32 (cbrt.f32 (*.f32 (*.f32 (PI.f32) (*.f32 2 u2)) (sqrt.f32 (log1p.f32 u1)))) 3)
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))
(*.f32 u2 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 2 (PI.f32))))
(pow.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) (*.f32 2 u2)) (sqrt.f32 (log1p.f32 u1))) 3) 1/3)
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))
(*.f32 u2 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 2 (PI.f32))))
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 2)))
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (*.f32 (*.f32 (PI.f32) 2) u2) 2)))
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (*.f32 2 (*.f32 u2 (PI.f32))) 2)))
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (*.f32 u2 (*.f32 2 (PI.f32))) 2)))
(fabs.f32 (*.f32 (*.f32 (PI.f32) (*.f32 2 u2)) (sqrt.f32 (log1p.f32 u1))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))
(*.f32 u2 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 2 (PI.f32))))
(log.f32 (pow.f32 (pow.f32 (pow.f32 (exp.f32 2) u2) (PI.f32)) (sqrt.f32 (log1p.f32 u1))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (log.f32 (pow.f32 (exp.f32 2) u2))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 u2 (log.f32 (exp.f32 2)))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (*.f32 (PI.f32) (*.f32 2 u2)) (sqrt.f32 (log1p.f32 u1))))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))
(*.f32 u2 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 2 (PI.f32))))
(cbrt.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) (*.f32 2 u2)) (sqrt.f32 (log1p.f32 u1))) 3))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))
(*.f32 u2 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 2 (PI.f32))))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) 2) u2) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 2 (*.f32 u2 (PI.f32))) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 u2 (*.f32 2 (PI.f32))) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 3)))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) 2) u2) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 2 (*.f32 u2 (PI.f32))) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 u2 (*.f32 2 (PI.f32))) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(expm1.f32 (log1p.f32 (*.f32 (*.f32 (PI.f32) (*.f32 2 u2)) (sqrt.f32 (log1p.f32 u1)))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))
(*.f32 u2 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 2 (PI.f32))))
(exp.f32 (log.f32 (*.f32 (*.f32 (PI.f32) (*.f32 2 u2)) (sqrt.f32 (log1p.f32 u1)))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))
(*.f32 u2 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 2 (PI.f32))))
(log1p.f32 (expm1.f32 (*.f32 (*.f32 (PI.f32) (*.f32 2 u2)) (sqrt.f32 (log1p.f32 u1)))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))))
(*.f32 u2 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 2 (PI.f32))))

localize79.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))
0.3b
(*.f32 (PI.f32) u2)
0.4b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) 1))
12.9b
(-.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) 1)
Compiler

Compiled 70 to 36 computations (48.6% saved)

series2.0ms (0%)

Counts
2 → 32
Calls

9 calls:

TimeVariablePointExpression
0.0ms
u1
@inf
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) 1))
0.0ms
u1
@-inf
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) 1))
0.0ms
u1
@0
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) 1))
0.0ms
u2
@0
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) 1))
0.0ms
u2
@0
(-.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) 1)

rewrite95.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1346×associate-*r/
1188×associate-*l/
402×add-sqr-sqrt
390×*-un-lft-identity
388×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01972
139752
2511752
Stop Event
node limit
Counts
2 → 141
Calls
Call 1
Inputs
(-.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) 1)
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) 1))
Outputs
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(sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3) (pow.f32 (log1p.f32 u1) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1)))))))))

simplify136.0ms (0.9%)

Algorithm
egg-herbie
Rules
1268×associate-/r/
1160×associate-/l/
736×associate-*l*
680×associate-*r*
554×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
044311737
1120611353
2526811231
Stop Event
node limit
Counts
173 → 253
Calls
Call 1
Inputs
(*.f32 2 (*.f32 u2 (PI.f32)))
(+.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (*.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))
(+.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (+.f32 (*.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (*.f32 4/15 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)))))
(+.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (+.f32 (*.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (+.f32 (*.f32 -8/315 (*.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (*.f32 4/15 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (-.f32 1/3 (*.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 -1 u1))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(+.f32 (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (*.f32 -4/3 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1))))))
(+.f32 (*.f32 4/15 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (*.f32 -4/3 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))))
(+.f32 (*.f32 4/15 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (*.f32 -4/3 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (*.f32 -8/315 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (sqrt.f32 (log.f32 (-.f32 1 u1))))))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 0)
(+.f32 1 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1))
(+.f32 1 (+.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1) 0))
(+.f32 1 (-.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1) 0))
(+.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) -1)
(+.f32 0 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(+.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1) 1)
(+.f32 -1 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1))
(*.f32 2 (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))))
(*.f32 2 (*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))) 1))
(*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1)
(*.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(*.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(*.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (*.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 1))
(*.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2))
(*.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2) (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(*.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2) (*.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 1))
(*.f32 (+.f32 (pow.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) 2) -1) (/.f32 1 (+.f32 2 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(*.f32 (+.f32 -1 (pow.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) 3)) (/.f32 1 (+.f32 (pow.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) 2) (+.f32 2 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))
(*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))) 2)
(*.f32 (*.f32 2 (sin.f32 (*.f32 (PI.f32) u2))) (cos.f32 (*.f32 (PI.f32) u2)))
(*.f32 (+.f32 1 (sqrt.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1))) (-.f32 (sqrt.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1)) 1))
(/.f32 1 (/.f32 (+.f32 2 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (+.f32 (pow.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) 2) -1)))
(/.f32 1 (/.f32 (+.f32 (pow.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) 2) (+.f32 2 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (+.f32 -1 (pow.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) 3))))
(/.f32 (+.f32 (pow.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) 2) -1) (+.f32 2 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(/.f32 (+.f32 -1 (pow.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) 3)) (+.f32 (pow.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) 2) (+.f32 2 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(/.f32 (+.f32 -1 (pow.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) 3)) (-.f32 (+.f32 1 (pow.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) 2)) (*.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) -1)))
(/.f32 (-.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2) 0) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(/.f32 (+.f32 0 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)) (+.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2) (-.f32 0 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 0))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) 2) -1)) (neg.f32 (+.f32 2 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(/.f32 (neg.f32 (+.f32 -1 (pow.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) 3))) (neg.f32 (+.f32 (pow.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) 2) (+.f32 2 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))
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(/.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (neg.f32 (+.f32 (pow.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) 2) -1))) (neg.f32 (+.f32 2 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(/.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (neg.f32 (+.f32 -1 (pow.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) 3)))) (neg.f32 (+.f32 (pow.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) 2) (+.f32 2 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))
(/.f32 (*.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (sqrt.f32 (+.f32 (pow.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) 2) -1))) (sqrt.f32 (+.f32 2 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(/.f32 (*.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (sqrt.f32 (+.f32 -1 (pow.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) 3)))) (sqrt.f32 (+.f32 (pow.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) 2) (+.f32 2 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))
(/.f32 (*.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2)) (cbrt.f32 (+.f32 (pow.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) 2) -1))) (cbrt.f32 (+.f32 2 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(/.f32 (*.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2)) (cbrt.f32 (+.f32 -1 (pow.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) 3)))) (cbrt.f32 (+.f32 (pow.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) 2) (+.f32 2 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))
(/.f32 (*.f32 (-.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2) 0) (sqrt.f32 (log1p.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(/.f32 (*.f32 (+.f32 0 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)) (sqrt.f32 (log1p.f32 u1))) (+.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2) (-.f32 0 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 0))))
(/.f32 (*.f32 (neg.f32 (+.f32 (pow.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) 2) -1)) (sqrt.f32 (log1p.f32 u1))) (neg.f32 (+.f32 2 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(/.f32 (*.f32 (neg.f32 (+.f32 -1 (pow.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) 3))) (sqrt.f32 (log1p.f32 u1))) (neg.f32 (+.f32 (pow.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) 2) (+.f32 2 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))
(/.f32 (*.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (pow.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) 2) -1)) 1) (+.f32 2 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(/.f32 (*.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 -1 (pow.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) 3))) 1) (+.f32 (pow.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) 2) (+.f32 2 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(/.f32 (*.f32 (*.f32 (+.f32 (pow.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) 2) -1) (sqrt.f32 (log1p.f32 u1))) 1) (+.f32 2 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(/.f32 (*.f32 (*.f32 (+.f32 -1 (pow.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) 3)) (sqrt.f32 (log1p.f32 u1))) 1) (+.f32 (pow.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) 2) (+.f32 2 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(/.f32 (*.f32 (sqrt.f32 (+.f32 (pow.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) 2) -1)) (*.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (sqrt.f32 (log1p.f32 u1)))) (sqrt.f32 (+.f32 2 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(/.f32 (*.f32 (sqrt.f32 (+.f32 -1 (pow.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) 3))) (*.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (sqrt.f32 (log1p.f32 u1)))) (sqrt.f32 (+.f32 (pow.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) 2) (+.f32 2 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))
(pow.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1))) 1)
(pow.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1)))) 2)
(pow.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1)))) 3)
(pow.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1))) 3) 1/3)
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2)))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1))))))
(cbrt.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1))) 3))
(cbrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)))
(expm1.f32 (log1p.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1)))))
(exp.f32 (log.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1)))))
(exp.f32 (*.f32 (log.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1)))) 1))
(log1p.f32 (expm1.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1)))))
Outputs
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 2 (PI.f32)) u2)
(*.f32 u2 (*.f32 2 (PI.f32)))
(+.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (*.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))
(fma.f32 2 (*.f32 u2 (PI.f32)) (*.f32 (*.f32 -4/3 (pow.f32 u2 3)) (pow.f32 (PI.f32) 3)))
(fma.f32 2 (*.f32 u2 (PI.f32)) (*.f32 (pow.f32 (PI.f32) 3) (*.f32 -4/3 (pow.f32 u2 3))))
(+.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (+.f32 (*.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (*.f32 4/15 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)))))
(fma.f32 2 (*.f32 u2 (PI.f32)) (fma.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (*.f32 (*.f32 4/15 (pow.f32 u2 5)) (pow.f32 (PI.f32) 5))))
(fma.f32 2 (*.f32 u2 (PI.f32)) (fma.f32 4/15 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (*.f32 (pow.f32 (PI.f32) 3) (*.f32 -4/3 (pow.f32 u2 3)))))
(+.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (+.f32 (*.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (+.f32 (*.f32 -8/315 (*.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (*.f32 4/15 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))))))
(fma.f32 2 (*.f32 u2 (PI.f32)) (fma.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (fma.f32 -8/315 (*.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7)) (*.f32 (*.f32 4/15 (pow.f32 u2 5)) (pow.f32 (PI.f32) 5)))))
(fma.f32 2 (*.f32 u2 (PI.f32)) (fma.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (fma.f32 4/15 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (*.f32 (pow.f32 (PI.f32) 7) (*.f32 -8/315 (pow.f32 u2 7))))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
(sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
(sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
(sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
(sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
(sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
(sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
(sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
(sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(*.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))
(*.f32 (sqrt.f32 -1) (*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(fma.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (*.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))
(fma.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))) (*.f32 (/.f32 (sqrt.f32 -1) (/.f32 u1 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))) (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))))
(fma.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))) (*.f32 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))
(fma.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (*.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2))) (*.f32 u1 u1))) (*.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))
(+.f32 (*.f32 (sqrt.f32 -1) (*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))) (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (*.f32 -1/2 (/.f32 (sqrt.f32 -1) (/.f32 u1 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))))) (*.f32 -1/2 (*.f32 (/.f32 (sqrt.f32 -1) (/.f32 u1 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))) (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2)) u1))))))
(+.f32 (*.f32 (sqrt.f32 -1) (*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))) (*.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) (*.f32 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2)) u1))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))
(fma.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (*.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2))) (*.f32 u1 u1))) (fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (*.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))) (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2)) (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))) (pow.f32 u1 3))) (*.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))))
(+.f32 (fma.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))) (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (*.f32 -1/2 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) (/.f32 (pow.f32 u1 3) (fma.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2)) (+.f32 (log.f32 -1) (log.f32 u1))) 1/3)))))) (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (*.f32 -1/2 (/.f32 (sqrt.f32 -1) (/.f32 u1 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))))) (*.f32 -1/2 (*.f32 (/.f32 (sqrt.f32 -1) (/.f32 u1 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))) (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2)) u1))))))
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(pow.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1)))) 3)
(*.f32 (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(pow.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1))) 3) 1/3)
(*.f32 (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2)))
(sqrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)) 2) (log1p.f32 u1)))
(sqrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 2) (log1p.f32 u1)))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(*.f32 (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1))))))
(*.f32 (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(cbrt.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1))) 3))
(*.f32 (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(cbrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(cbrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(cbrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)))
(cbrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(cbrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(expm1.f32 (log1p.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1)))))
(*.f32 (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(exp.f32 (log.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1)))))
(*.f32 (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(exp.f32 (*.f32 (log.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1)))) 1))
(*.f32 (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(log1p.f32 (expm1.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1)))))
(*.f32 (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))

localize84.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(-.f32 (log.f32 (-.f32 1 (*.f32 u1 u1))) (log1p.f32 u1))
0.3b
(*.f32 (*.f32 2 (PI.f32)) u2)
0.4b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 1 (*.f32 u1 u1))) (log1p.f32 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
21.6b
(log.f32 (-.f32 1 (*.f32 u1 u1)))
Compiler

Compiled 86 to 48 computations (44.2% saved)

series18.0ms (0.1%)

Counts
3 → 44
Calls

12 calls:

TimeVariablePointExpression
13.0ms
u2
@inf
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 1 (*.f32 u1 u1))) (log1p.f32 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
1.0ms
u2
@0
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 1 (*.f32 u1 u1))) (log1p.f32 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
1.0ms
u1
@0
(log.f32 (-.f32 1 (*.f32 u1 u1)))
0.0ms
u1
@inf
(log.f32 (-.f32 1 (*.f32 u1 u1)))
0.0ms
u1
@inf
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 1 (*.f32 u1 u1))) (log1p.f32 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))

rewrite116.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1216×associate-*r/
992×associate-*l/
418×add-sqr-sqrt
406×*-un-lft-identity
404×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
020103
140993
2518093
Stop Event
node limit
Counts
3 → 240
Calls
Call 1
Inputs
(log.f32 (-.f32 1 (*.f32 u1 u1)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 1 (*.f32 u1 u1))) (log1p.f32 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(-.f32 (log.f32 (-.f32 1 (*.f32 u1 u1))) (log1p.f32 u1))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) 2) (pow.f32 (log1p.f32 u1) 2)))) (sqrt.f32 (+.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) 3) (pow.f32 (log1p.f32 u1) 3)))) (sqrt.f32 (+.f32 (pow.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) 2) (*.f32 (log1p.f32 u1) (+.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) 2) (pow.f32 (log1p.f32 u1) 2))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (sqrt.f32 (+.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) 3) (pow.f32 (log1p.f32 u1) 3))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (sqrt.f32 (+.f32 (pow.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) 2) (*.f32 (log1p.f32 u1) (+.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (cbrt.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) 2) (pow.f32 (log1p.f32 u1) 2))) (*.f32 (cbrt.f32 (sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (cbrt.f32 (+.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (cbrt.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) 3) (pow.f32 (log1p.f32 u1) 3))) (*.f32 (cbrt.f32 (sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (cbrt.f32 (+.f32 (pow.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) 2) (*.f32 (log1p.f32 u1) (+.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1)) (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1)) 3/2) (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3) (pow.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))))))
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simplify207.0ms (1.4%)

Algorithm
egg-herbie
Rules
1050×associate--r-
902×fma-def
830×associate--l-
620×associate-*r*
578×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
069919606
1186518240
2729918240
Stop Event
node limit
Counts
284 → 437
Calls
Call 1
Inputs
(*.f32 -1 (pow.f32 u1 2))
(+.f32 (*.f32 -1 (pow.f32 u1 2)) (*.f32 -1/2 (pow.f32 u1 4)))
(+.f32 (*.f32 -1/3 (pow.f32 u1 6)) (+.f32 (*.f32 -1 (pow.f32 u1 2)) (*.f32 -1/2 (pow.f32 u1 4))))
(+.f32 (*.f32 -1/3 (pow.f32 u1 6)) (+.f32 (*.f32 -1/4 (pow.f32 u1 8)) (+.f32 (*.f32 -1 (pow.f32 u1 2)) (*.f32 -1/2 (pow.f32 u1 4)))))
(+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))
(-.f32 (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))) (/.f32 1 (pow.f32 u1 2)))
(-.f32 (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))) (+.f32 (/.f32 1 (pow.f32 u1 2)) (*.f32 1/2 (/.f32 1 (pow.f32 u1 4)))))
(-.f32 (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))) (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 4))) (*.f32 1/3 (/.f32 1 (pow.f32 u1 6))))))
(+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 -1 u1))))
(-.f32 (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 -1 u1)))) (/.f32 1 (pow.f32 u1 2)))
(-.f32 (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 -1 u1)))) (+.f32 (/.f32 1 (pow.f32 u1 2)) (*.f32 1/2 (/.f32 1 (pow.f32 u1 4)))))
(-.f32 (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 -1 u1)))) (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 4))) (*.f32 1/3 (/.f32 1 (pow.f32 u1 6))))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))))
(+.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))) (*.f32 1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))))))
(+.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))) (+.f32 (*.f32 1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))))) (*.f32 1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (-.f32 1/2 (pow.f32 (*.f32 1/2 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))))))))
(+.f32 (*.f32 1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (-.f32 1/3 (*.f32 1/2 (/.f32 (-.f32 1/2 (pow.f32 (*.f32 1/2 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))))) 2)) (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))))) (+.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))) (+.f32 (*.f32 1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))))) (*.f32 1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (-.f32 1/2 (pow.f32 (*.f32 1/2 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))))))))
(*.f32 (sqrt.f32 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1))))) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(+.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1)))))) (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1))) (*.f32 (sqrt.f32 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1))))) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))))
(+.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1)))))) (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1))) (+.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1)))))) (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (-.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1))))))) 2))) (pow.f32 u1 2)))) (*.f32 (sqrt.f32 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1))))) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))))
(+.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1)))))) (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1))) (+.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1)))))) (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (-.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1))))))) 2))) (pow.f32 u1 2)))) (+.f32 (*.f32 (sqrt.f32 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1))))) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1)))))) (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (+.f32 (*.f32 -1/2 (/.f32 (-.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1))))))) 2)) (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1)))))) 1/3)) (pow.f32 u1 3)))))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (-.f32 1 (pow.f32 u1 2)))))))
(+.f32 (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (-.f32 1 (pow.f32 u1 2))))))) (*.f32 -4/3 (*.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (-.f32 1 (pow.f32 u1 2))))))))
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(/.f32 (*.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) 3) (pow.f32 (log1p.f32 u1) 3))) (sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (sqrt.f32 (+.f32 (pow.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) 2) (*.f32 (log1p.f32 u1) (+.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1))))))
(/.f32 (*.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) 2) (pow.f32 (log1p.f32 u1) 2))) (neg.f32 (sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1))))) (sqrt.f32 (+.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1))))
(/.f32 (*.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) 3) (pow.f32 (log1p.f32 u1) 3))) (neg.f32 (sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1))))) (sqrt.f32 (+.f32 (pow.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) 2) (*.f32 (log1p.f32 u1) (+.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1))))))
(/.f32 (*.f32 (cbrt.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) 2) (pow.f32 (log1p.f32 u1) 2))) (pow.f32 (cbrt.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1))) 2)) (cbrt.f32 (+.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1))))
(/.f32 (*.f32 (cbrt.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) 3) (pow.f32 (log1p.f32 u1) 3))) (pow.f32 (cbrt.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1))) 2)) (cbrt.f32 (+.f32 (pow.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) 2) (*.f32 (log1p.f32 u1) (+.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1))))))
(/.f32 (*.f32 (cbrt.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) 2) (pow.f32 (log1p.f32 u1) 2))) (*.f32 (cbrt.f32 (sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1))))) (cbrt.f32 (+.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1))))
(/.f32 (*.f32 (cbrt.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) 3) (pow.f32 (log1p.f32 u1) 3))) (*.f32 (cbrt.f32 (sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1))))) (cbrt.f32 (+.f32 (pow.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) 2) (*.f32 (log1p.f32 u1) (+.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1))))))
(/.f32 (*.f32 (-.f32 (*.f32 (pow.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) 2) (pow.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) 2)) (*.f32 (pow.f32 (log1p.f32 u1) 2) (pow.f32 (log1p.f32 u1) 2))) (/.f32 1 (+.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (+.f32 (pow.f32 (log1p.f32 u1) 2) (pow.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) 2)))
(/.f32 (*.f32 (-.f32 (pow.f32 (pow.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) 2) 3) (pow.f32 (pow.f32 (log1p.f32 u1) 2) 3)) (/.f32 1 (+.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (+.f32 (*.f32 (pow.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) 2) (pow.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) 2)) (+.f32 (*.f32 (pow.f32 (log1p.f32 u1) 2) (pow.f32 (log1p.f32 u1) 2)) (*.f32 (pow.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) 2) (pow.f32 (log1p.f32 u1) 2)))))
(/.f32 (*.f32 (-.f32 (*.f32 (pow.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) 3) (pow.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) 3)) (*.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (log1p.f32 u1) 3))) (/.f32 1 (+.f32 (pow.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) 2) (*.f32 (log1p.f32 u1) (+.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))))) (+.f32 (pow.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) 3) (pow.f32 (log1p.f32 u1) 3)))
(/.f32 (*.f32 (-.f32 (pow.f32 (pow.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) 3) 3) (pow.f32 (pow.f32 (log1p.f32 u1) 3) 3)) (/.f32 1 (+.f32 (pow.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) 2) (*.f32 (log1p.f32 u1) (+.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))))) (+.f32 (*.f32 (pow.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) 3) (pow.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) 3)) (+.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (log1p.f32 u1) 3)) (*.f32 (pow.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) 3) (pow.f32 (log1p.f32 u1) 3)))))
(pow.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1)) 1)
(pow.f32 (sqrt.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1))) 2)
(pow.f32 (cbrt.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1))) 3)
(pow.f32 (pow.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1)) 2) 1/2)
(pow.f32 (pow.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1)) 3) 1/3)
(neg.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))
(sqrt.f32 (pow.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1)) 2))
(log.f32 (/.f32 (-.f32 1 (*.f32 u1 u1)) (+.f32 1 u1)))
(log.f32 (+.f32 1 (expm1.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))))
(cbrt.f32 (pow.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1)) 3))
(expm1.f32 (log1p.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1))))
(exp.f32 (log.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1))))
(exp.f32 (*.f32 (log.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1))) 1))
(log1p.f32 (expm1.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1))))
(fma.f32 1 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (neg.f32 (log1p.f32 u1)))
(fma.f32 (sqrt.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1)))) (sqrt.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1)))) (neg.f32 (log1p.f32 u1)))
(fma.f32 (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1)))) 2) (cbrt.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1)))) (neg.f32 (log1p.f32 u1)))
Outputs
(*.f32 -1 (pow.f32 u1 2))
(*.f32 u1 (neg.f32 u1))
(+.f32 (*.f32 -1 (pow.f32 u1 2)) (*.f32 -1/2 (pow.f32 u1 4)))
(fma.f32 -1 (*.f32 u1 u1) (*.f32 -1/2 (pow.f32 u1 4)))
(fma.f32 -1/2 (pow.f32 u1 4) (*.f32 u1 (neg.f32 u1)))
(+.f32 (*.f32 -1/3 (pow.f32 u1 6)) (+.f32 (*.f32 -1 (pow.f32 u1 2)) (*.f32 -1/2 (pow.f32 u1 4))))
(fma.f32 -1/3 (pow.f32 u1 6) (fma.f32 -1 (*.f32 u1 u1) (*.f32 -1/2 (pow.f32 u1 4))))
(fma.f32 -1/3 (pow.f32 u1 6) (fma.f32 -1/2 (pow.f32 u1 4) (*.f32 u1 (neg.f32 u1))))
(+.f32 (*.f32 -1/3 (pow.f32 u1 6)) (+.f32 (*.f32 -1/4 (pow.f32 u1 8)) (+.f32 (*.f32 -1 (pow.f32 u1 2)) (*.f32 -1/2 (pow.f32 u1 4)))))
(fma.f32 -1/3 (pow.f32 u1 6) (fma.f32 -1/4 (pow.f32 u1 8) (fma.f32 -1 (*.f32 u1 u1) (*.f32 -1/2 (pow.f32 u1 4)))))
(fma.f32 -1/3 (pow.f32 u1 6) (fma.f32 -1/4 (pow.f32 u1 8) (fma.f32 -1/2 (pow.f32 u1 4) (*.f32 u1 (neg.f32 u1)))))
(+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))
(+.f32 (log.f32 -1) (*.f32 -2 (neg.f32 (log.f32 u1))))
(fma.f32 -2 (neg.f32 (log.f32 u1)) (log.f32 -1))
(-.f32 (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))) (/.f32 1 (pow.f32 u1 2)))
(+.f32 (log.f32 -1) (-.f32 (*.f32 -2 (neg.f32 (log.f32 u1))) (/.f32 1 (*.f32 u1 u1))))
(+.f32 (log.f32 -1) (fma.f32 -2 (neg.f32 (log.f32 u1)) (/.f32 -1 (*.f32 u1 u1))))
(-.f32 (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))) (+.f32 (/.f32 1 (pow.f32 u1 2)) (*.f32 1/2 (/.f32 1 (pow.f32 u1 4)))))
(-.f32 (+.f32 (log.f32 -1) (*.f32 -2 (neg.f32 (log.f32 u1)))) (+.f32 (/.f32 1 (*.f32 u1 u1)) (/.f32 1/2 (pow.f32 u1 4))))
(+.f32 (fma.f32 -2 (neg.f32 (log.f32 u1)) (log.f32 -1)) (-.f32 (/.f32 -1 (*.f32 u1 u1)) (/.f32 1/2 (pow.f32 u1 4))))
(-.f32 (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))) (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 4))) (*.f32 1/3 (/.f32 1 (pow.f32 u1 6))))))
(-.f32 (+.f32 (log.f32 -1) (*.f32 -2 (neg.f32 (log.f32 u1)))) (+.f32 (/.f32 1 (*.f32 u1 u1)) (+.f32 (/.f32 1/2 (pow.f32 u1 4)) (/.f32 1/3 (pow.f32 u1 6)))))
(+.f32 (log.f32 -1) (-.f32 (fma.f32 -2 (neg.f32 (log.f32 u1)) (/.f32 -1 (*.f32 u1 u1))) (+.f32 (/.f32 1/2 (pow.f32 u1 4)) (/.f32 1/3 (pow.f32 u1 6)))))
(+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 -1 u1))))
(fma.f32 -2 (log.f32 (/.f32 -1 u1)) (log.f32 -1))
(-.f32 (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 -1 u1)))) (/.f32 1 (pow.f32 u1 2)))
(+.f32 (log.f32 -1) (-.f32 (*.f32 -2 (log.f32 (/.f32 -1 u1))) (/.f32 1 (*.f32 u1 u1))))
(+.f32 (log.f32 -1) (fma.f32 -2 (log.f32 (/.f32 -1 u1)) (/.f32 -1 (*.f32 u1 u1))))
(-.f32 (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 -1 u1)))) (+.f32 (/.f32 1 (pow.f32 u1 2)) (*.f32 1/2 (/.f32 1 (pow.f32 u1 4)))))
(-.f32 (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 -1 u1)))) (+.f32 (/.f32 1 (*.f32 u1 u1)) (/.f32 1/2 (pow.f32 u1 4))))
(+.f32 (log.f32 -1) (-.f32 (fma.f32 -2 (log.f32 (/.f32 -1 u1)) (/.f32 -1 (*.f32 u1 u1))) (/.f32 1/2 (pow.f32 u1 4))))
(-.f32 (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 -1 u1)))) (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 4))) (*.f32 1/3 (/.f32 1 (pow.f32 u1 6))))))
(+.f32 (log.f32 -1) (-.f32 (*.f32 -2 (log.f32 (/.f32 -1 u1))) (+.f32 (/.f32 1 (*.f32 u1 u1)) (+.f32 (/.f32 1/2 (pow.f32 u1 4)) (/.f32 1/3 (pow.f32 u1 6))))))
(+.f32 (log.f32 -1) (-.f32 (-.f32 (fma.f32 -2 (log.f32 (/.f32 -1 u1)) (/.f32 -1 (*.f32 u1 u1))) (/.f32 1/2 (pow.f32 u1 4))) (/.f32 1/3 (pow.f32 u1 6))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (neg.f32 (log.f32 u1)))))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))
(+.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))) (*.f32 1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))))))
(fma.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (neg.f32 (log.f32 u1)))))) (*.f32 1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (neg.f32 (log.f32 u1))))))))))
(fma.f32 1/2 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) u1) (sqrt.f32 (/.f32 1 (neg.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (log.f32 u1))))))
(+.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))) (+.f32 (*.f32 1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))))) (*.f32 1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (-.f32 1/2 (pow.f32 (*.f32 1/2 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))))))))
(fma.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (neg.f32 (log.f32 u1)))))) (*.f32 1/2 (+.f32 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (neg.f32 (log.f32 u1)))))))) (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (neg.f32 (log.f32 u1))))))) (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (-.f32 1/2 (pow.f32 (*.f32 1/2 (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (neg.f32 (log.f32 u1)))))))) 2))) (*.f32 u1 u1))))))
(fma.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (neg.f32 (+.f32 (log.f32 -1) (log.f32 u1))))) (+.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) u1) (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (*.f32 u1 u1)) (-.f32 1/2 (pow.f32 (*.f32 1/2 (sqrt.f32 (/.f32 1 (neg.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))) 2))))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (log.f32 u1))))))
(+.f32 (*.f32 1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (-.f32 1/3 (*.f32 1/2 (/.f32 (-.f32 1/2 (pow.f32 (*.f32 1/2 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))))) 2)) (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))))) (+.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))) (+.f32 (*.f32 1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))))) (*.f32 1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (-.f32 1/2 (pow.f32 (*.f32 1/2 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))))))))
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(cbrt.f32 (pow.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1)) 3))
(-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1))
(expm1.f32 (log1p.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1))))
(-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1))
(exp.f32 (log.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1))))
(-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1))
(exp.f32 (*.f32 (log.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1))) 1))
(-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1))
(log1p.f32 (expm1.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1))))
(-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1))
(fma.f32 1 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (neg.f32 (log1p.f32 u1)))
(-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1))
(fma.f32 (sqrt.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1)))) (sqrt.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1)))) (neg.f32 (log1p.f32 u1)))
(-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1))
(fma.f32 (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1)))) 2) (cbrt.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1)))) (neg.f32 (log1p.f32 u1)))
(-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1))

localize62.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))
0.3b
(*.f32 (PI.f32) u2)
0.4b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2))
0.5b
(pow.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2)
Compiler

Compiled 66 to 32 computations (51.5% saved)

series3.0ms (0%)

Counts
2 → 28
Calls

9 calls:

TimeVariablePointExpression
1.0ms
u2
@0
(pow.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2)
0.0ms
u2
@inf
(pow.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2)
0.0ms
u2
@-inf
(pow.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2)
0.0ms
u1
@inf
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2))
0.0ms
u1
@-inf
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2))

rewrite72.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1062×unswap-sqr
928×swap-sqr
370×distribute-rgt-in
346×add-sqr-sqrt
336×*-un-lft-identity
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01860
136652
2415952
Stop Event
node limit
Counts
2 → 47
Calls
Call 1
Inputs
(pow.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2)
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))) 1/2) (pow.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1/4) (*.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1/4) (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (*.f32 (cbrt.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2) (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1/4)) (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (sin.f32 (*.f32 (PI.f32) u2))) (cos.f32 (*.f32 (PI.f32) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (cbrt.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 1 1/2) (pow.f32 1 1/2)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2) 1/2) (pow.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2) 1/2)) (*.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 1/2) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (*.f32 (sqrt.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2))) (*.f32 (cbrt.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2))) (*.f32 (sqrt.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2)) (cbrt.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))) (*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2)) (cbrt.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (sqrt.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))) (*.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (sqrt.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) (-.f32 u2 u2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) (-.f32 u2 u2)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) 2) (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) (-.f32 u2 u2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3) (pow.f32 (log1p.f32 u1) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1)))))))))

simplify78.0ms (0.5%)

Algorithm
egg-herbie
Rules
1408×associate-/l*
1020×distribute-lft-in
1008×distribute-rgt-in
904×unswap-sqr
694×associate-/r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02354555
16794101
223683927
Stop Event
node limit
Counts
75 → 116
Calls
Call 1
Inputs
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (-.f32 1/3 (*.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 -1 u1))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(+.f32 (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (*.f32 -4/3 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1))))))
(+.f32 (*.f32 4/15 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (*.f32 -4/3 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))))
(+.f32 (*.f32 4/15 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (*.f32 -4/3 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (*.f32 -8/315 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (sqrt.f32 (log.f32 (-.f32 1 u1))))))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(-.f32 (exp.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 1)
(*.f32 2 (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))))
(*.f32 2 (*.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))) 1/2) (pow.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))) 1/2)))
(*.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1)
(*.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(*.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1/4) (*.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1/4) (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(*.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2))
(*.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (*.f32 (cbrt.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(*.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2) (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))) 2)
(*.f32 (*.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1/4)) (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1/4))
(*.f32 (*.f32 2 (sin.f32 (*.f32 (PI.f32) u2))) (cos.f32 (*.f32 (PI.f32) u2)))
(*.f32 (*.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (cbrt.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(*.f32 (*.f32 (pow.f32 1 1/2) (pow.f32 1 1/2)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(*.f32 (*.f32 (pow.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2) 1/2) (pow.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2) 1/2)) (*.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 1/2) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 1/2)))
(*.f32 (*.f32 (sqrt.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (*.f32 (sqrt.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(*.f32 (*.f32 (cbrt.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2))) (*.f32 (cbrt.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2))))
(*.f32 (*.f32 (sqrt.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2))) (*.f32 (sqrt.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2))))
(*.f32 (*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2)) (cbrt.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))) (*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2)) (cbrt.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))
(*.f32 (*.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (sqrt.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))) (*.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (sqrt.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))
(/.f32 (*.f32 2 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) (-.f32 u2 u2))))) 2)
(/.f32 (*.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) (-.f32 u2 u2)))) 2) 2)
(sqrt.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2))
(log.f32 (exp.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(log.f32 (+.f32 1 (expm1.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(cbrt.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3))
(sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))
(expm1.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(exp.f32 (log.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(log1p.f32 (expm1.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1))))) 1)
(/.f32 (*.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) 2) (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) (-.f32 u2 u2))))) 2)
(pow.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1))) 1)
(pow.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1)))) 2)
(pow.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1)))) 3)
(pow.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1))) 3) 1/3)
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2)))
(log.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (sqrt.f32 (log1p.f32 u1))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1))))))
(cbrt.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1))) 3))
(cbrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)))
(expm1.f32 (log1p.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1)))))
(exp.f32 (log.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1)))))
(exp.f32 (*.f32 (log.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1)))) 1))
(log1p.f32 (expm1.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1)))))
Outputs
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(*.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))
(*.f32 (sqrt.f32 -1) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(fma.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (*.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))
(fma.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))) (*.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 u1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))))
(fma.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))) (*.f32 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))
(fma.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (*.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2))) (*.f32 u1 u1))) (*.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))
(+.f32 (*.f32 (sqrt.f32 -1) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))) (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 u1 (sqrt.f32 -1)))) (/.f32 (*.f32 -1/2 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (*.f32 (/.f32 u1 (sqrt.f32 -1)) (/.f32 u1 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2))))))))
(+.f32 (*.f32 (sqrt.f32 -1) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))) (*.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) (+.f32 (*.f32 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2)) u1)) (*.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))
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(expm1.f32 (log1p.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1)))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(exp.f32 (log.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1)))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(exp.f32 (*.f32 (log.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1)))) 1))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(log1p.f32 (expm1.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1)))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))

eval1.1s (7.3%)

Compiler

Compiled 48181 to 27517 computations (42.9% saved)

prune682.0ms (4.5%)

Pruning

60 alts after pruning (50 fresh and 10 done)

PrunedKeptTotal
New1453141467
Fresh123648
Picked011
Done3912
Total1468601528
Error
0.0b
Counts
1528 → 60
Alt Table
Click to see full alt table
StatusErrorProgram
11.7b
(pow.f32 (sqrt.f32 (*.f32 (*.f32 (PI.f32) (*.f32 2 u2)) (sqrt.f32 (log1p.f32 u1)))) 2)
9.2b
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2)
8.3b
(/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (log1p.f32 u1)) (sqrt.f32 (log1p.f32 u1)))
11.7b
(*.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 3) (sqrt.f32 (log1p.f32 u1)))
8.4b
(*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
4.8b
(*.f32 (/.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (+.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (pow.f32 u1 3))))) (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) 2) (pow.f32 (log1p.f32 (pow.f32 u1 3)) 2))))
11.6b
(*.f32 (*.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (PI.f32)) u2) 2)
11.7b
(*.f32 (*.f32 (PI.f32) (*.f32 2 u2)) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2))
6.2b
(*.f32 (*.f32 (PI.f32) (*.f32 2 u2)) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (neg.f32 (pow.f32 u1 3))))))
11.6b
(*.f32 (*.f32 (PI.f32) (*.f32 2 u2)) (sqrt.f32 (log1p.f32 u1)))
6.2b
(*.f32 (*.f32 u2 (PI.f32)) (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))) 2))
0.6b
(*.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1))) 3))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
0.9b
(*.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (sin.f32 (pow.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)))
0.7b
(*.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
8.3b
(*.f32 (sqrt.f32 (neg.f32 (/.f32 -1 (/.f32 1 (log1p.f32 u1))))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
2.3b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3)))) u1))) (sin.f32 (pow.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)))
2.9b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1))) (sin.f32 (pow.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)))
2.8b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1))) (sin.f32 (*.f32 (*.f32 (*.f32 2 (PI.f32)) (sqrt.f32 u2)) (sqrt.f32 u2))))
2.6b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
4.2b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 -1/2 u1) u1) u1))) (sin.f32 (pow.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)))
4.1b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 -1/2 u1) u1) u1))) (sin.f32 (*.f32 (*.f32 (*.f32 2 (PI.f32)) (sqrt.f32 u2)) (sqrt.f32 u2))))
3.9b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 -1/2 u1) u1) u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
2.8b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 u1 (neg.f32 u1)) (log1p.f32 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
7.7b
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (sin.f32 (*.f32 (*.f32 (*.f32 2 (PI.f32)) (sqrt.f32 u2)) (sqrt.f32 u2))))
2.8b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3) 1/3))
6.4b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2))
1.7b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2))
13.1b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (+.f32 (pow.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) 2) -1) (+.f32 2 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
18.0b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 (*.f32 2 (*.f32 u2 (PI.f32))) 1) 1))
13.0b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) 1))
12.1b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1) 1))
6.3b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (pow.f32 (sqrt.f32 (*.f32 u2 (PI.f32))) 2)))
6.5b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 3)))
6.2b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (*.f32 u2 (PI.f32))))
7.1b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (exp.f32 (log.f32 (*.f32 u2 (PI.f32))))))
0.9b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (pow.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)))
0.7b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2))))
0.5b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
0.5b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))
0.5b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
13.0b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
6.2b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (*.f32 (PI.f32) (*.f32 -2 (-.f32 (*.f32 (*.f32 u2 u2) (PI.f32)) u2)))))
0.6b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
14.0b
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (/.f32 (-.f32 1 (*.f32 u1 u1)) (+.f32 1 u1))))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
13.3b
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (pow.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)))
13.3b
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
13.3b
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (*.f32 (exp.f32 (log.f32 (*.f32 (PI.f32) (*.f32 2 (sqrt.f32 u2))))) (sqrt.f32 u2))))
0.6b
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (-.f32 (pow.f32 (cbrt.f32 (log1p.f32 (fma.f32 u1 u1 u1))) 3) (log1p.f32 (neg.f32 (pow.f32 u1 3))))))
2.5b
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (-.f32 (+.f32 (*.f32 1/2 (pow.f32 u1 2)) (+.f32 (*.f32 -2/3 (pow.f32 u1 3)) u1)) (log1p.f32 (neg.f32 (pow.f32 u1 3))))))
4.7b
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (pow.f32 u1 3)))))
2.6b
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (*.f32 1/2 (pow.f32 u1 2)) (+.f32 (*.f32 1/3 (pow.f32 u1 3)) u1))))
7.6b
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 u1))
11.7b
(*.f32 (PI.f32) (*.f32 (*.f32 2 u2) (sqrt.f32 (log1p.f32 u1))))
11.6b
(*.f32 (PI.f32) (sqrt.f32 (*.f32 (log1p.f32 u1) (*.f32 4 (*.f32 u2 u2)))))
7.9b
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 (log1p.f32 u1) (log.f32 (-.f32 1 (*.f32 u1 u1)))))))
6.2b
(*.f32 2 (*.f32 (PI.f32) (*.f32 u2 (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (neg.f32 (pow.f32 u1 3))))))))
9.1b
(sqrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)) 2) (log1p.f32 u1)))
5.7b
(sqrt.f32 (*.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (pow.f32 u1 3))) (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 2)))
12.0b
(exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))))
29.7b
0
Compiler

Compiled 1137 to 944 computations (17% saved)

regimes579.0ms (3.8%)

Counts
103 → 1
Calls
Call 1
Inputs
0
(*.f32 (PI.f32) (*.f32 (*.f32 2 u2) (sqrt.f32 (log1p.f32 u1))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 u1))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))
(*.f32 (*.f32 (PI.f32) (*.f32 2 u2)) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (*.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (PI.f32)) u2) 2)
(*.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) (*.f32 2 (*.f32 u2 (PI.f32))))
(*.f32 (pow.f32 (log1p.f32 u1) 1/2) (*.f32 2 (*.f32 u2 (PI.f32))))
(*.f32 (PI.f32) (sqrt.f32 (*.f32 (log1p.f32 u1) (*.f32 4 (*.f32 u2 u2)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (*.f32 u2 (PI.f32))))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 (*.f32 2 (*.f32 u2 (PI.f32))) 1) 1))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 -1/2 u1) u1) u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 2)))
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (*.f32 2 (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 (PI.f32) (*.f32 2 u2)) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (/.f32 -1 (/.f32 1 (log1p.f32 u1))))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (*.f32 u2 (PI.f32)) (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))) 2))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 (log1p.f32 u1) (log.f32 (-.f32 1 (*.f32 u1 u1)))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1 (-.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1) 1))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) 1))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 u1 (neg.f32 u1)) (log1p.f32 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (/.f32 (-.f32 1 (*.f32 u1 u1)) (+.f32 1 u1))))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))))
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2)))
(sqrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)) 2) (log1p.f32 u1)))
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 3) (sqrt.f32 (log1p.f32 u1)))
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))) 2)
(pow.f32 (sqrt.f32 (*.f32 (*.f32 (PI.f32) (*.f32 2 u2)) (sqrt.f32 (log1p.f32 u1)))) 2)
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (exp.f32 (log.f32 (*.f32 u2 (PI.f32))))))
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (log1p.f32 u1)) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 3)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (pow.f32 (sqrt.f32 (*.f32 u2 (PI.f32))) 2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (sin.f32 (pow.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (sin.f32 (*.f32 (*.f32 (*.f32 2 (PI.f32)) (sqrt.f32 u2)) (sqrt.f32 u2))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (*.f32 (PI.f32) (*.f32 -2 (-.f32 (*.f32 (*.f32 u2 u2) (PI.f32)) u2)))))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 1 (*.f32 u1 u1))) (log1p.f32 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 -1/2 u1) u1) u1))) (sin.f32 (pow.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (*.f32 (PI.f32) (+.f32 (*.f32 2 u2) (*.f32 (*.f32 -2 (*.f32 u2 u2)) (PI.f32))))))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 -1/2 u1) u1) u1))) (sin.f32 (*.f32 (*.f32 (*.f32 2 (PI.f32)) (sqrt.f32 u2)) (sqrt.f32 u2))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (*.f32 1/2 (pow.f32 u1 2)) (+.f32 (*.f32 1/3 (pow.f32 u1 3)) u1))))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1))) (sin.f32 (pow.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1))) (sin.f32 (*.f32 (*.f32 (*.f32 2 (PI.f32)) (sqrt.f32 u2)) (sqrt.f32 u2))))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3)))) u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 3)
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2)
(cbrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (exp.f32 (log.f32 (*.f32 (PI.f32) u2))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (pow.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2))
(*.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (pow.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (exp.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 1))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3) 1/3))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (*.f32 (*.f32 (*.f32 2 (PI.f32)) (sqrt.f32 u2)) (sqrt.f32 u2))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))) 2))
(*.f32 2 (*.f32 (PI.f32) (*.f32 u2 (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (neg.f32 (pow.f32 u1 3))))))))
(*.f32 (*.f32 (PI.f32) (*.f32 2 u2)) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (neg.f32 (pow.f32 u1 3))))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (pow.f32 u1 3)))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (neg.f32 (pow.f32 u1 3))))))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 u1 3))) (log1p.f32 (fma.f32 u1 u1 u1))))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1))) 3))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (-.f32 (+.f32 (*.f32 1/2 (pow.f32 u1 2)) (+.f32 (*.f32 -2/3 (pow.f32 u1 3)) u1)) (log1p.f32 (neg.f32 (pow.f32 u1 3))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (+.f32 (pow.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) 2) -1) (+.f32 2 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 u1 3))) (+.f32 (*.f32 1/2 (pow.f32 u1 2)) (+.f32 (*.f32 -2/3 (pow.f32 u1 3)) u1))))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3)))) u1))) (sin.f32 (pow.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (pow.f32 (sqrt.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2)))
(*.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (sin.f32 (pow.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (*.f32 (exp.f32 (log.f32 (*.f32 (PI.f32) (*.f32 2 (sqrt.f32 u2))))) (sqrt.f32 u2))))
(sqrt.f32 (*.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (pow.f32 u1 3))) (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 2)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 2) (cbrt.f32 (log1p.f32 (neg.f32 u1)))))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (*.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1)) 1) (+.f32 2 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (-.f32 (pow.f32 (cbrt.f32 (log1p.f32 (fma.f32 u1 u1 u1))) 3) (log1p.f32 (neg.f32 (pow.f32 u1 3))))))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 u1 3))) (exp.f32 (log.f32 (log1p.f32 (fma.f32 u1 u1 u1))))))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2) (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 u1 3))) (pow.f32 (cbrt.f32 (log1p.f32 (fma.f32 u1 u1 u1))) 3)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 u1 3))) (pow.f32 (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) 3) 1/3)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (/.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (pow.f32 (log1p.f32 (neg.f32 u1)) 3))))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (/.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0) (cbrt.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 2)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(fma.f32 -4/3 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (*.f32 u1 u1))))) (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (*.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (*.f32 u1 u1)))))))
(*.f32 (sqrt.f32 (neg.f32 (/.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0) (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 2)) (cbrt.f32 (log1p.f32 (neg.f32 u1)))))) (sin.f32 (pow.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (*.f32 (cbrt.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))) (cbrt.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))))) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) 2)))
(*.f32 (/.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (+.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (pow.f32 u1 3))))) (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 (fma.f32 u1 u1 u1)) 2) (pow.f32 (log1p.f32 (pow.f32 u1 3)) 2))))
Outputs
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (neg.f32 (pow.f32 u1 3))))))
Calls

10 calls:

92.0ms
cosTheta_i
89.0ms
(-.f32 1 u1)
59.0ms
(neg.f32 (log.f32 (-.f32 1 u1)))
55.0ms
u2
47.0ms
(*.f32 (*.f32 2 (PI.f32)) u2)
Results
ErrorSegmentsBranch
0.5b1cosTheta_i
0.5b1u1
0.5b1u2
0.5b1(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
0.5b1(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))
0.5b1(neg.f32 (log.f32 (-.f32 1 u1)))
0.5b1(log.f32 (-.f32 1 u1))
0.5b1(-.f32 1 u1)
0.5b1(sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
0.5b1(*.f32 (*.f32 2 (PI.f32)) u2)
Compiler

Compiled 1812 to 1045 computations (42.3% saved)

regimes418.0ms (2.8%)

Counts
79 → 1
Calls
Call 1
Inputs
0
(*.f32 (PI.f32) (*.f32 (*.f32 2 u2) (sqrt.f32 (log1p.f32 u1))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 u1))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))
(*.f32 (*.f32 (PI.f32) (*.f32 2 u2)) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (*.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (PI.f32)) u2) 2)
(*.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) (*.f32 2 (*.f32 u2 (PI.f32))))
(*.f32 (pow.f32 (log1p.f32 u1) 1/2) (*.f32 2 (*.f32 u2 (PI.f32))))
(*.f32 (PI.f32) (sqrt.f32 (*.f32 (log1p.f32 u1) (*.f32 4 (*.f32 u2 u2)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (*.f32 u2 (PI.f32))))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 (*.f32 2 (*.f32 u2 (PI.f32))) 1) 1))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 -1/2 u1) u1) u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 2)))
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (*.f32 2 (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 (PI.f32) (*.f32 2 u2)) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (/.f32 -1 (/.f32 1 (log1p.f32 u1))))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (*.f32 u2 (PI.f32)) (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))) 2))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 (log1p.f32 u1) (log.f32 (-.f32 1 (*.f32 u1 u1)))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1 (-.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1) 1))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1) 1))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 u1 (neg.f32 u1)) (log1p.f32 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (/.f32 (-.f32 1 (*.f32 u1 u1)) (+.f32 1 u1))))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))))
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2)))
(sqrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)) 2) (log1p.f32 u1)))
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 3) (sqrt.f32 (log1p.f32 u1)))
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))) 2)
(pow.f32 (sqrt.f32 (*.f32 (*.f32 (PI.f32) (*.f32 2 u2)) (sqrt.f32 (log1p.f32 u1)))) 2)
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (exp.f32 (log.f32 (*.f32 u2 (PI.f32))))))
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (log1p.f32 u1)) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 3)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (pow.f32 (sqrt.f32 (*.f32 u2 (PI.f32))) 2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (sin.f32 (pow.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (sin.f32 (*.f32 (*.f32 (*.f32 2 (PI.f32)) (sqrt.f32 u2)) (sqrt.f32 u2))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (*.f32 (PI.f32) (*.f32 -2 (-.f32 (*.f32 (*.f32 u2 u2) (PI.f32)) u2)))))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 1 (*.f32 u1 u1))) (log1p.f32 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 -1/2 u1) u1) u1))) (sin.f32 (pow.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (*.f32 (PI.f32) (+.f32 (*.f32 2 u2) (*.f32 (*.f32 -2 (*.f32 u2 u2)) (PI.f32))))))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 -1/2 u1) u1) u1))) (sin.f32 (*.f32 (*.f32 (*.f32 2 (PI.f32)) (sqrt.f32 u2)) (sqrt.f32 u2))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (*.f32 1/2 (pow.f32 u1 2)) (+.f32 (*.f32 1/3 (pow.f32 u1 3)) u1))))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1))) (sin.f32 (pow.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1))) (sin.f32 (*.f32 (*.f32 (*.f32 2 (PI.f32)) (sqrt.f32 u2)) (sqrt.f32 u2))))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3)))) u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 3)
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2)
(cbrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (exp.f32 (log.f32 (*.f32 (PI.f32) u2))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (pow.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2))
(*.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (pow.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (exp.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 1))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3) 1/3))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (*.f32 (*.f32 (*.f32 2 (PI.f32)) (sqrt.f32 u2)) (sqrt.f32 u2))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))) 2))
(*.f32 2 (*.f32 (PI.f32) (*.f32 u2 (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (neg.f32 (pow.f32 u1 3))))))))
(*.f32 (*.f32 (PI.f32) (*.f32 2 u2)) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (neg.f32 (pow.f32 u1 3))))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (pow.f32 u1 3)))))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
Calls

10 calls:

77.0ms
u2
66.0ms
cosTheta_i
45.0ms
(*.f32 (*.f32 2 (PI.f32)) u2)
36.0ms
(sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
34.0ms
u1
Results
ErrorSegmentsBranch
0.5b1cosTheta_i
0.5b1u1
0.5b1u2
0.5b1(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
0.5b1(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))
0.5b1(neg.f32 (log.f32 (-.f32 1 u1)))
0.5b1(log.f32 (-.f32 1 u1))
0.5b1(-.f32 1 u1)
0.5b1(sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
0.5b1(*.f32 (*.f32 2 (PI.f32)) u2)
Compiler

Compiled 1215 to 688 computations (43.4% saved)

regimes74.0ms (0.5%)

Counts
18 → 2
Calls
Call 1
Inputs
0
(*.f32 (PI.f32) (*.f32 (*.f32 2 u2) (sqrt.f32 (log1p.f32 u1))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 u1))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))
(*.f32 (*.f32 (PI.f32) (*.f32 2 u2)) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (*.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (PI.f32)) u2) 2)
(*.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) (*.f32 2 (*.f32 u2 (PI.f32))))
(*.f32 (pow.f32 (log1p.f32 u1) 1/2) (*.f32 2 (*.f32 u2 (PI.f32))))
(*.f32 (PI.f32) (sqrt.f32 (*.f32 (log1p.f32 u1) (*.f32 4 (*.f32 u2 u2)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (*.f32 u2 (PI.f32))))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 (*.f32 2 (*.f32 u2 (PI.f32))) 1) 1))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 -1/2 u1) u1) u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 2)))
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (*.f32 2 (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 (PI.f32) (*.f32 2 u2)) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (*.f32 u2 (PI.f32))))
Calls

5 calls:

18.0ms
(*.f32 (*.f32 2 (PI.f32)) u2)
17.0ms
u1
17.0ms
u2
9.0ms
cosTheta_i
9.0ms
(sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
Results
ErrorSegmentsBranch
2.6b1cosTheta_i
1.5b2u1
1.6b2u2
2.6b1(sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
1.6b2(*.f32 (*.f32 2 (PI.f32)) u2)
Compiler

Compiled 225 to 139 computations (38.2% saved)

bsearch0.0ms (0%)

Algorithm
binary-search
Steps
TimeLeftRight
0.0ms
0.015169738791882992
0.015225972048938274
Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes91.0ms (0.6%)

Counts
13 → 2
Calls
Call 1
Inputs
0
(*.f32 (PI.f32) (*.f32 (*.f32 2 u2) (sqrt.f32 (log1p.f32 u1))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 u1))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))
(*.f32 (*.f32 (PI.f32) (*.f32 2 u2)) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (*.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (PI.f32)) u2) 2)
(*.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) (*.f32 2 (*.f32 u2 (PI.f32))))
(*.f32 (pow.f32 (log1p.f32 u1) 1/2) (*.f32 2 (*.f32 u2 (PI.f32))))
(*.f32 (PI.f32) (sqrt.f32 (*.f32 (log1p.f32 u1) (*.f32 4 (*.f32 u2 u2)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (*.f32 u2 (PI.f32))))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 (*.f32 2 (*.f32 u2 (PI.f32))) 1) 1))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 -1/2 u1) u1) u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (*.f32 u2 (PI.f32))))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 -1/2 u1) u1) u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
Calls

5 calls:

43.0ms
u2
15.0ms
(*.f32 (*.f32 2 (PI.f32)) u2)
13.0ms
u1
9.0ms
(sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
7.0ms
cosTheta_i
Results
ErrorSegmentsBranch
3.9b1cosTheta_i
2.2b2u1
2.0b2u2
3.9b1(sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
2.0b2(*.f32 (*.f32 2 (PI.f32)) u2)
Compiler

Compiled 162 to 100 computations (38.3% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0006857429398223758
0.000709737534634769
Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes106.0ms (0.7%)

Counts
12 → 2
Calls
Call 1
Inputs
0
(*.f32 (PI.f32) (*.f32 (*.f32 2 u2) (sqrt.f32 (log1p.f32 u1))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 u1))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))
(*.f32 (*.f32 (PI.f32) (*.f32 2 u2)) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (*.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (PI.f32)) u2) 2)
(*.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) (*.f32 2 (*.f32 u2 (PI.f32))))
(*.f32 (pow.f32 (log1p.f32 u1) 1/2) (*.f32 2 (*.f32 u2 (PI.f32))))
(*.f32 (PI.f32) (sqrt.f32 (*.f32 (log1p.f32 u1) (*.f32 4 (*.f32 u2 u2)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (*.f32 u2 (PI.f32))))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 (*.f32 2 (*.f32 u2 (PI.f32))) 1) 1))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (*.f32 u2 (PI.f32))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 u1))
Calls

5 calls:

58.0ms
(sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
13.0ms
u2
13.0ms
u1
12.0ms
(*.f32 (*.f32 2 (PI.f32)) u2)
6.0ms
cosTheta_i
Results
ErrorSegmentsBranch
6.2b1cosTheta_i
3.8b2u1
3.1b2u2
3.9b2(sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
3.1b2(*.f32 (*.f32 2 (PI.f32)) u2)
Compiler

Compiled 146 to 89 computations (39% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.017535950988531113
0.019562143832445145
Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes61.0ms (0.4%)

Counts
9 → 1
Calls
Call 1
Inputs
0
(*.f32 (PI.f32) (*.f32 (*.f32 2 u2) (sqrt.f32 (log1p.f32 u1))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 u1))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))
(*.f32 (*.f32 (PI.f32) (*.f32 2 u2)) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (*.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (PI.f32)) u2) 2)
(*.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) (*.f32 2 (*.f32 u2 (PI.f32))))
(*.f32 (pow.f32 (log1p.f32 u1) 1/2) (*.f32 2 (*.f32 u2 (PI.f32))))
(*.f32 (PI.f32) (sqrt.f32 (*.f32 (log1p.f32 u1) (*.f32 4 (*.f32 u2 u2)))))
Outputs
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 u1))
Calls

3 calls:

48.0ms
u1
5.0ms
u2
5.0ms
cosTheta_i
Results
ErrorSegmentsBranch
7.6b1cosTheta_i
7.6b1u1
7.6b1u2
Compiler

Compiled 92 to 53 computations (42.4% saved)

regimes12.0ms (0.1%)

Accuracy

Total -18.1b remaining (-155.3%)

Threshold costs -18.1b (-155.3%)

Counts
2 → 1
Calls
Call 1
Inputs
0
(*.f32 (PI.f32) (*.f32 (*.f32 2 u2) (sqrt.f32 (log1p.f32 u1))))
Outputs
(*.f32 (PI.f32) (*.f32 (*.f32 2 u2) (sqrt.f32 (log1p.f32 u1))))
Calls

3 calls:

6.0ms
cosTheta_i
3.0ms
u2
3.0ms
u1
Results
ErrorSegmentsBranch
11.7b1cosTheta_i
11.7b1u1
11.7b1u2
Compiler

Compiled 25 to 20 computations (20% saved)

simplify20.0ms (0.1%)

Algorithm
egg-herbie
Rules
96×distribute-lft-neg-in
84×*-commutative
54×distribute-rgt-neg-in
46×+-commutative
42×neg-sub0
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
071470
1106470
2126470
3166462
4207462
5250462
6292462
7325462
8329462
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (neg.f32 (pow.f32 u1 3))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(if (<=.f32 u1 4080219/268435456) (*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (*.f32 u2 (PI.f32)))))
(if (<=.f32 (*.f32 (*.f32 2 (PI.f32)) u2) 3006477/4294967296) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 -1/2 u1) u1) u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))))
(if (<=.f32 (*.f32 (*.f32 2 (PI.f32)) u2) 2415919/134217728) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 u1)))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 u1))
(*.f32 (PI.f32) (*.f32 (*.f32 2 u2) (sqrt.f32 (log1p.f32 u1))))
0
Outputs
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (-.f32 (log1p.f32 (fma.f32 u1 u1 u1)) (log1p.f32 (neg.f32 (pow.f32 u1 3))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(if (<=.f32 u1 4080219/268435456) (*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (*.f32 u2 (PI.f32)))))
(if (<=.f32 u1 4080219/268435456) (*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1))) (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (*.f32 (PI.f32) u2))))
(if (<=.f32 u1 4080219/268435456) (*.f32 (sqrt.f32 (+.f32 u1 (*.f32 (*.f32 u1 u1) (neg.f32 (+.f32 -1/2 (*.f32 u1 -1/3)))))) (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (*.f32 (PI.f32) u2))))
(if (<=.f32 u1 4080219/268435456) (*.f32 (sqrt.f32 (-.f32 u1 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))))) (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (*.f32 (PI.f32) u2))))
(if (<=.f32 u1 4080219/268435456) (*.f32 (sqrt.f32 (+.f32 u1 (*.f32 (*.f32 u1 u1) (+.f32 1/2 (*.f32 u1 1/3))))) (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (*.f32 (PI.f32) u2))))
(if (<=.f32 (*.f32 (*.f32 2 (PI.f32)) u2) 3006477/4294967296) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 -1/2 u1) u1) u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))))
(if (<=.f32 (*.f32 u2 (*.f32 (PI.f32) 2)) 3006477/4294967296) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (*.f32 (PI.f32) u2))) (*.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (-.f32 (*.f32 u1 (*.f32 u1 -1/2)) u1)))))
(if (<=.f32 (*.f32 u2 (*.f32 (PI.f32) 2)) 3006477/4294967296) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (*.f32 (PI.f32) u2))) (*.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (+.f32 u1 (*.f32 (neg.f32 u1) (*.f32 u1 -1/2))))))
(if (<=.f32 (*.f32 u2 (*.f32 (PI.f32) 2)) 3006477/4294967296) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (*.f32 (PI.f32) u2))) (*.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (+.f32 u1 (*.f32 u1 (*.f32 u1 1/2))))))
(if (<=.f32 (*.f32 (*.f32 2 (PI.f32)) u2) 2415919/134217728) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 u1)))
(if (<=.f32 (*.f32 u2 (*.f32 (PI.f32) 2)) 2415919/134217728) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (*.f32 (PI.f32) u2))) (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 u1)))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 u1))
(*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 u1))
(*.f32 (PI.f32) (*.f32 (*.f32 2 u2) (sqrt.f32 (log1p.f32 u1))))
0
Compiler

Compiled 170 to 133 computations (21.8% saved)

soundness185.0ms (1.2%)

Algorithm
egg-herbie
Rules
1504×fma-def
1376×associate-/r/
1014×+-commutative
918×*-commutative
808×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04517247
112076561
253446435
02405531
16504743
222594423
372364423
Stop Event
node limit
node limit
Compiler

Compiled 338 to 248 computations (26.6% saved)

end67.0ms (0.4%)

Compiler

Compiled 149 to 89 computations (40.3% saved)

Profiling

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